TASK DEFINITION: In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).
PROBLEM: Context: Watford is a town and borough in Hertfordshire, England, situated northwest of central London and inside the circumference of the M25 motorway. It is not to be confused with Watford, Northamptonshire which is 55 miles to the north., Chiltern Railways is a British train operating company owned by Arriva UK Trains that has operated the Chiltern Railways franchise since July 1996. It operates commuter/regional rail passenger services from its Central London terminus at London Marylebone along the M40 corridor to destinations in Buckinghamshire, Oxfordshire and Warwickshire, as well as long-distance services to the West Midlands along two routes. Services on the Chiltern Main Line run from London Marylebone to Birmingham Snow Hill, Stratford-upon-Avon and Oxford, with some peak-hour services to Kidderminster., Chesham (, or ) is a market town in the Chiltern Hills, Buckinghamshire, England. It is located 11 miles south-east of the county town of Aylesbury. Chesham is also a civil parish designated a town council within Chiltern district. It is situated in the Chess Valley and surrounded by farmland, as well as being bordered on one side by Amersham and Chesham Bois. The earliest records of Chesham as a settlement are from the second half of the 10th century although there is archaeological evidence of people in this area from around 8000 BC. Henry III granted the town a royal charter for a weekly market in 1257., The Metropolitan line is a London Underground line that runs from Aldgate, in the City of London, to Amersham and Chesham in Buckinghamshire, with branches to Watford in Hertfordshire, and Uxbridge in the London Borough of Hillingdon. Coloured magenta (Pantone 235) on the tube map, the line is in length and serves 34 stations. The section between Aldgate and Baker Street is shared with the Circle and Hammersmith & City lines; that between Rayners Lane and Uxbridge with the Piccadilly line; and that between Harrow-on-the-Hill and Amersham with Chiltern Railways. Just under 67 million passenger journeys were made on the line in 2011/12. The line is one of only two London Underground lines to cross the Greater London boundary, the other being the Central line., Uxbridge is a town in west London, England, and the administrative headquarters of the London Borough of Hillingdon. Fifteen miles (24.1 km) west-northwest of Charing Cross, it is one of the major metropolitan centres identified in the London Plan. Uxbridge historically formed part of the parish of Hillingdon in the county of Middlesex, and was a significant local commercial centre from an early time. As part of the suburban growth of London in the 20th century it expanded and increased in population, becoming a municipal borough in 1955, and has formed part of Greater London since 1965. It is a significant retail and commercial centre, and is the location of Brunel University and the Uxbridge campus of Buckinghamshire New University. The town is close to the boundary with Buckinghamshire, which is locally the River Colne., Pantone Inc. is a corporation headquartered in Carlstadt, New Jersey. The company is best known for its Pantone Matching System (PMS), a proprietary color space used in a variety of industries, primarily printing, though sometimes in the manufacture of colored paint, fabric, and plastics., Northwood Hills is a London Underground station on the Metropolitan line in the area of Northwood , between Northwood and Pinner stations and is in Travelcard Zone 6 ., Buckinghamshire (or ), abbreviated Bucks, is a county in South East England which borders Greater London to the south east, Berkshire to the south, Oxfordshire to the west, Northamptonshire to the north, Bedfordshire to the north east and Hertfordshire to the east., Aldgate was the eastern-most gateway through the London Wall leading from the City of London to Whitechapel and the East End of London. It gives its name to a City ward bounded by White Kennet Street in the north and Crutched Friars in the south, taking in Leadenhall and Fenchurch Streets, which remain principal thoroughfares through the City, each splitting from the short street named Aldgate that connects to Aldgate High Street. The road is situated east north-east of Charing Cross., The London Underground (also known simply as the Underground, or by its nickname the Tube) is a public rapid transit system serving Greater London and some parts of the adjacent counties of Buckinghamshire, Essex and Hertfordshire in the United Kingdom., The London Borough of Hillingdon is the westernmost borough in Greater London, England which had a population of 273,936 according to the 2011 Census. It was formed from the districts of Hayes and Harlington, Ruislip-Northwood, Uxbridge, and Yiewsley and West Drayton in the historic county of Middlesex. Today, Hillingdon is home to Heathrow Airport and Brunel University, and is the second largest of the 32 London boroughs by area., Rapid transit, also known as heavy rail, metro, subway, tube, or underground, is a type of high-capacity public transport generally found in urban areas. Unlike buses or trams, rapid transit systems are electric railways that operate on an exclusive right-of-way, which cannot be accessed by pedestrians or other vehicles of any sort, and which is often grade separated in tunnels or on elevated railways., The City of London is a city and county within London. It constituted most of London from its settlement by the Romans in the 1st century AD to the Middle Ages, but the agglomeration has since grown far beyond the City's borders. The City is now only a tiny part of the metropolis of London, though it remains a notable part of central London. Administratively, it forms one of the 33 local authority districts of Greater London; however, the City of London is not a London borough, a status reserved for the other 32 districts (including London's only other city, the City of Westminster). , Hertfordshire (often abbreviated Herts) is a county in southern England, bordered by Bedfordshire to the north, Cambridgeshire to the north-east, Essex to the east, Buckinghamshire to the west and Greater London to the south. For government statistical purposes, it is placed in the East of England region., Amersham is a market town and civil parish within Chiltern district in Buckinghamshire, England, north west of London, in the Chiltern Hills. It is part of the London commuter belt. Amersham is also from Aylesbury and from High Wycombe., The Piccadilly line is a line of the London Underground, coloured dark blue on the Tube map. It is the fourth busiest line on the Underground network on the basis of the number of passengers transported per year with 210,000,000. It is mainly a deep-level line, running from the north to the west of London via Zone 1, with a number of surface sections, mostly in its westernmost parts. It is named after the road above it between Hyde Park Corner and Piccadilly Circus. Some of its stations are shared with the District line and some are shared with the Metropolitan line. It is the second longest line on the system, after the Central line, and has the second most stations, after the District line. It serves many of London's top tourist attractions including Harrods (Knightsbridge), Hyde Park, Buckingham Palace (within walking distance from Green Park), Piccadilly Circus, Leicester Square and Covent Garden, as well as London Heathrow Airport, the busiest airport in Europe. The line shares tracks with the Metropolitan line between Uxbridge and Rayners Lane, and with the District line between Hanger Lane Junction and Acton Town, then runs parallel with the District line between Acton Town and Barons Court., In cryptography, MAGENTA is a symmetric key block cipher developed by Michael Jacobson Jr. and Klaus Huber for Deutsche Telekom. The name MAGENTA is an acronym for Multifunctional Algorithm for General-purpose Encryption and Network Telecommunication Applications. (The color magenta is also part of the corporate identity of Deutsche Telekom.) The cipher was submitted to the Advanced Encryption Standard process, but did not advance beyond the first round; cryptographic weaknesses were discovered and it was found to be one of the slower ciphers submitted., The Tube map is a schematic transport map of the lines, stations and services of London's public transport systems, the primary system being London Underground, known colloquially as "the Tube", hence the map's name. The first schematic Tube map was designed by Harry Beck in 1931, and it has since been expanded to also include today the Docklands Light Railway, London Overground, TfL Rail, Tramlink and the Emirates Air Line cable car., Subject: northwood hills tube station, Relation: located_in_the_administrative_territorial_entity, Options: (A) amersham (B) baker (C) bedfordshire (D) buckinghamshire (E) cable (F) central (G) chesham (H) chiltern (I) colne (J) cross (K) district (L) east end of london (M) england (N) europe (O) greater london (P) hertfordshire (Q) hyde park (R) london (S) london borough of hillingdon (T) magenta (U) middlesex (V) most (W) new jersey (X) northwood (Y) of (Z) oxford ([) oxfordshire (\) piccadilly (]) river (^) road (_) south (`) south east england (a) street (b) uxbridge (c) watford (d) west (e) west midlands (f) westminster (g) wycombe

SOLUTION: london borough of hillingdon

PROBLEM: Context: Promerycochoerus ( `` Before Merycochoerus '' or `` Before Ruminating Hog '' ) is an extinct genus of hippopotamus - like oreodont artiodactyl that lived in Central North America during the Early Miocene . The 1 m ( 3 ft 4 in ) long creature is thought to have been amphibious , as all species possessed an elongated , barrel - shaped body and short limbs that are typical adaptations found in semi-aquatic mammals . P. superbus had a long tapir - like face , while P. carrikeri had a short , somewhat pig - like face ., The Neogene is a geologic period and system that spans 20.45 million years from the end of the Paleogene Period million years ago (Mya) to the beginning of the present Quaternary Period Mya. The Neogene is sub-divided into two epochs, the earlier Miocene and the later Pliocene. Some geologists assert that the Neogene cannot be clearly delineated from the modern geological period, the Quaternary., A genus ( genera) is a taxonomic rank used in the biological classification of living and fossil organisms in biology. In the hierarchy of biological classification, genus comes above species and below family. In binomial nomenclature, the genus name forms the first part of the binomial species name for each species within the genus., Sir Charles Lyell, 1st Baronet, (14 November 1797  22 February 1875) was a British lawyer and the foremost geologist of his day. He is best known as the author of "Principles of Geology", which popularized James Hutton's concepts of uniformitarianismthe idea that the Earth was shaped by the same processes still in operation today. "Principles of Geology" also challenged theories popularized by Georges Cuvier, which were the most accepted and circulated ideas about geology in England at the time., Kenya, officially the Republic of Kenya, is a country in Africa and a founding member of the East African Community (EAC). Its capital and largest city is Nairobi. Kenya's territory lies on the equator and overlies the East African Rift covering a diverse and expansive terrain that extends roughly from Lake Victoria to Lake Turkana (formerly called Lake Rudolf) and further south-east to the Indian Ocean. It is bordered by Tanzania to the south and southwest, Uganda to the west, South Sudan to the north-west, Ethiopia to the north and Somalia to the north-east. Kenya covers , and had a population of approximately 45 million people in July 2014., The Atlantic Ocean is the second largest of the world's oceans with a total area of about . It covers approximately 20 percent of the Earth's surface and about 29 percent of its water surface area. It separates the "Old World" from the "New World"., Cetacea are a widely distributed and diverse clade of aquatic mammals that today consists of the whales, dolphins, and porpoises. Cetaceans are carnivorous and finned. Most species live in the sea, some in rivers. The name is derived from the Latin "cetus" "whale" and Greek "ketos" "huge fish"., North America is a continent entirely within the Northern Hemisphere and almost all within the Western Hemisphere. It can also be considered a northern subcontinent of the Americas. It is bordered to the north by the Arctic Ocean, to the east by the Atlantic Ocean, to the west and south by the Pacific Ocean, and to the southeast by South America and the Caribbean Sea., A rhinoceros (meaning "nose horn"), often abbreviated to rhino, is one of any five extant species of odd-toed ungulates in the family Rhinocerotidae, as well as any of the numerous extinct species. Two of these extant species are native to Africa and three to Southern Asia., Elephants are large mammals of the family Elephantidae and the order Proboscidea. Two species are traditionally recognised, the African elephant ("Loxodonta africana") and the Asian elephant ("Elephas maximus"), although some evidence suggests that African bush elephants and African forest elephants are separate species ("L. africana" and "L. cyclotis" respectively). Elephants are scattered throughout sub-Saharan Africa, South Asia, and Southeast Asia. Elephantidae is the only surviving family of the order Proboscidea; other, now extinct, members of the order include deinotheres, gomphotheres, mammoths, and mastodons. Male African elephants are the largest extant terrestrial animals and can reach a height of and weigh . All elephants have several distinctive features, the most notable of which is a long trunk or proboscis, used for many purposes, particularly breathing, lifting water, and grasping objects. Their incisors grow into tusks, which can serve as weapons and as tools for moving objects and digging. Elephants' large ear flaps help to control their body temperature. Their pillar-like legs can carry their great weight. African elephants have larger ears and concave backs while Asian elephants have smaller ears and convex or level backs., Sub-Saharan Africa is, geographically, the area of the continent of Africa that lies south of the Sahara desert. According to the UN, it consists of all African countries that are fully or partially located south of the Sahara. It contrasts with North Africa, whose territories are part of the League of Arab states within the Arab world. Somalia, Djibouti, Comoros and Mauritania are geographically in Sub-Saharan Africa, but are likewise Arab states and part of the Arab world., Whales are a widely distributed and diverse group of fully aquatic placental marine mammals. They are an informal grouping within the infraorder Cetacea, usually excluding dolphins and porpoises. Whales, dolphins and porpoises belong to the order Cetartiodactyla with even-toed ungulates and their closest living relatives are the hippopotamuses, having diverged about 40 million years ago. The two parvorders of whales, baleen whales (Mysticeti) and toothed whales (Odontoceti), are thought to have split apart around 34 million years ago. The whales comprise eight extant families: Balaenopteridae (the rorquals), Balaenidae (right whales), Cetotheriidae (the pygmy right whale), Eschrichtiidae (the gray whale), Monodontidae (belugas and narwhals), Physeteridae (the sperm whale), Kogiidae (the dwarf and pygmy sperm whale), and Ziphiidae (the beaked whales)., A continent is one of several very large landmasses on Earth. Generally identified by convention rather than any strict criteria, up to seven regions are commonly regarded as continents. Ordered from largest in size to smallest, they are: Asia, Africa, North America, South America, Antarctica, Europe, and Australia. In geology, areas of continental crust include regions covered with water., The common hippopotamus ("Hippopotamus amphibius"), or hippo, is a large, mostly herbivorous mammal in sub-Saharan Africa, and one of only two extant species in the family Hippopotamidae, the other being the pygmy hippopotamus ("Choeropsis liberiensis" or "Hexaprotodon liberiensis"). The name comes from the ancient Greek for "river horse". After the elephant and rhinoceros, the common hippopotamus is the third-largest type of land mammal and the heaviest extant artiodactyl. Despite their physical resemblance to pigs and other terrestrial even-toed ungulates, the closest living relatives of the Hippopotamidae are cetaceans (whales, porpoises, etc.) from which they diverged about . The common ancestor of whales and hippos split from other even-toed ungulates around . The earliest known hippopotamus fossils, belonging to the genus "Kenyapotamus" in Africa, date to around ., The Miocene is the first geological epoch of the Neogene Period and extends from about (Ma). The Miocene was named by Sir Charles Lyell. Its name comes from the Greek words (', less) and (', new) and means "less recent" because it has 18% fewer modern sea invertebrates than the Pliocene. The Miocene follows the Oligocene Epoch and is followed by the Pliocene Epoch., Ungulates (pronounced ) are any members of a diverse group of primarily large mammals that includes odd-toed ungulates such as horses and rhinoceroses, and even-toed ungulates such as cattle, pigs, giraffes, camels, deer, and hippopotami. Most terrestrial ungulates use the tips of their toes, usually hoofed, to sustain their whole body weight while moving. The term means, roughly, "being hoofed" or "hoofed animal". As a descriptive term, "ungulate" normally excludes cetaceans (whales, dolphins, porpoises), as they do not possess most of the typical morphological characteristics of ungulates, but recent discoveries indicate that they are descended from early artiodactyls. Ungulates are typically herbivorous (though some species are omnivorous, such as pigs), and many employ specialized gut bacteria to allow them to digest cellulose, as in the case of ruminants. They inhabit a wide range of habitats, from jungles, plains and rivers., A pig is any of the animals in the genus Sus, within the Suidae family of even-toed ungulates. Pigs include the domestic pig and its ancestor, the common Eurasian wild boar ("Sus scrofa"), along with other species; related creatures outside the genus include the peccary, the babirusa, and the warthog. Pigs, like all suids, are native to the Eurasian and African continents. Juvenile pigs are known as piglets. Pigs are highly social and intelligent animals., The pygmy hippopotamus ("Choeropsis liberiensis" or "Hexaprotodon liberiensis") is a small hippopotamid which is native to the forests and swamps of West Africa, primarily in Liberia with small populations in Sierra Leone, Guinea, and Ivory Coast., Hexaprotodon is a genus of Hippopotamidae that is sometimes applied to the pygmy hippopotamus. Pygmy hippos may be classified as either "Choeropsis liberiensis" or "Hexaprotodon liberiensis". The name "Hexaprotodon" means "six front teeth" as some of the fossil forms have three pairs of incisors.
The genus Hexaprotodon also includes a number of rarely studied extinct species from Asia, sometimes labeled "Asian Hippopotami.", Invertebrates are animals that neither possess nor develop a vertebral column (commonly known as a "backbone" or "spine"), derived from the notochord. This includes all animals apart from the subphylum Vertebrata. Familiar examples of invertebrates include insects; crabs, lobsters and their kin; snails, clams, octopuses and their kin; starfish, sea-urchins and their kin; and worms., Porpoises are a group of fully aquatic marine mammals that are sometimes referred to as mereswine, all of which are classified under the family Phocoenidae, parvorder Odontoceti (toothed whales). There are six extant species of porpoise. They are small toothed whales that are very closely related to oceanic dolphins. The most obvious visible difference between the two groups is that porpoises have shorter beaks and flattened, spade-shaped teeth distinct from the conical teeth of dolphins. Porpoises, and other cetaceans, belong to the clade Cetartiodactyla with even-toed ungulates, and their closest living relatives are the hippopotamuses, having diverged from them about 40 million years ago., Binomial nomenclature (also called binominal nomenclature or binary nomenclature) is a formal system of naming species of living things by giving each a name composed of two parts, both of which use Latin grammatical forms, although they can be based on words from other languages. Such a name is called a binomial name (which may be shortened to just "binomial"), a binomen or a scientific name; more informally it is also called a Latin name. The first part of the name identifies the genus to which the species belongs; the second part identifies the species within the genus. For example, humans belong to the genus "Homo" and within this genus to the species "Homo sapiens". The "formal" introduction of this system of naming species is credited to Carl Linnaeus, effectively beginning with his work "Species Plantarum" in 1753. But Gaspard Bauhin, in as early as 1623, had introduced in his book "Pinax theatri botanici" (English, "Illustrated exposition of plants") many names of genera that were later adopted by Linnaeus., In biology, an organism is any contiguous living system, such as an animal, plant, fungus, archaeon, or bacterium. All known types of organisms are capable of some degree of response to stimuli, reproduction, growth and development and homeostasis. An organism consists of one or more cells; when it has one cell it is known as a unicellular organism; and when it has more than one it is known as a multicellular organism. Most unicellular organisms are of microscopic scale and are thus loosely described as microorganisms. Humans are multicellular organisms composed of many trillions of cells grouped into specialized tissues and organs., Merycochoerus is an extinct genus of terrestrial herbivore of the family Merycoidodontidae (oreodont), endemic to North America during the Late Oligocene to Early Miocene (28.416.3 mya) existing for approximately ., The Sahara (", 'the Greatest Desert') is the largest hot desert and the third largest desert in the world after Antarctica and the Arctic. Its area of is comparable to the area of the United States., The Pliocene (also Pleiocene) Epoch is the epoch in the geologic timescale that extends from 5.333 million to 2.58 million years BP. It is the second and youngest epoch of the Neogene Period in the Cenozoic Era. The Pliocene follows the Miocene Epoch and is followed by the Pleistocene Epoch. Prior to the 2009 revision of the geologic time scale, which placed the four most recent major glaciations entirely within the Pleistocene, the Pliocene also included the Gelasian stage, which lasted from 2.588 to 1.806 million years ago, and is now included in the Pleistocene., A herbivore is an animal anatomically and physiologically adapted to eating plant material, for example foliage, for the main component of its diet. As a result of their plant diet, herbivorous animals typically have mouthparts adapted to rasping or grinding. Horses and other herbivores have wide flat teeth that are adapted to grinding grass, tree bark, and other tough plant material., Subject: promerycochoerus, Relation: parent_taxon, Options: (A) animal (B) area (C) areas (D) bacteria (E) balaenidae (F) cetacea (G) choeropsis (H) deer (I) elephantidae (J) elephas (K) hexaprotodon (L) hippopotamus (M) homo (N) idea (O) insects (P) mammal (Q) merycoidodontidae (R) mya (S) mysticeti (T) neogene (U) odontoceti (V) peccary (W) physeteridae (X) pig (Y) plant (Z) proboscidea ([) rhinoceros (\) starfish (]) ungulate (^) vertebrata (_) victoria (`) wild boar

SOLUTION: merycoidodontidae

PROBLEM: Context: In probability and statistics , a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment , survey , or procedure of statistical inference . Examples are found in experiments whose sample space is non-numerical , where the distribution would be a categorical distribution ; experiments whose sample space is encoded by discrete random variables , where the distribution can be specified by a probability mass function ; and experiments with sample spaces encoded by continuous random variables , where the distribution can be specified by a probability density function . More complex experiments , such as those involving stochastic processes defined in continuous time , may demand the use of more general probability measures . In applied probability , a probability distribution can be specified in a number of different ways , often chosen for mathematical convenience : by supplying a valid probability mass function or probability density function by supplying a valid cumulative distribution function or survival function by supplying a valid hazard function by supplying a valid characteristic function by supplying a rule for constructing a new random variable from other random variables whose joint probability distribution is known . A probability distribution can either be univariate or multivariate . A univariate distribution gives the probabilities of a single random variable taking on various alternative values ; a multivariate distribution ( a joint probability distribution ) gives the probabilities of a random vector -- a set of two or more random variables -- taking on various combinations of values . Important and commonly encountered univariate probability distributions include the binomial distribution , the hypergeometric distribution , and the normal distribution . The multivariate normal distribution is a commonly encountered multivariate distribution ., Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384322 B.C.), though "analysis" as a formal concept is a relatively recent development., An experiment is a procedure carried out to support, refute, or validate a hypothesis. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated. Experiments vary greatly in goal and scale, but always rely on repeatable procedure and logical analysis of the results. There also exists natural experimental studies., Probability is the measure of the likelihood that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is unbiased, the two outcomes ("head" and "tail") are both equally probable; the probability of "head" equals the probability of "tail". Since no other outcomes are possible, the probability is 1/2 (or 50%), of either "head" or "tail". In other words, the probability of "head" is 1 out of 2 outcomes and the probability of "tail" is also 1 out of 2 outcomes, expressed as 0.5 when converted to decimal, with the above-mentioned quantification system. This type of probability is also called a priori probability., In statistics, a population is a set of similar items or events which is of interest for some question or experiment. A statistical population can be a group of actually existing objects (e.g. the set of all stars within the Milky Way galaxy) or a hypothetical and potentially infinite group of objects conceived as a generalization from experience (e.g. the set of all possible hands in a game of poker). A common aim of statistical analysis is to produce information about some chosen population., Debt, AIDS, Trade, Africa (DATA) was a multinational non-government organization founded in January 2002 in London by U2's Bono along with Bobby Shriver and activists from the Jubilee 2000 Drop the Debt campaign., Probability and Statistics or also called Statistics and Probability are two related but separate academic disciplines. Statistical analysis often uses probability distributions, and the two topics are often studied together. However, probability theory contains much that is mostly of mathematical interest and not directly relevant to statistics. Moreover, many topics in statistics are independent of probability theory., A statistic (singular) or sample statistic is a single measure of some attribute of a sample (e.g., its arithmetic mean value). It is calculated by applying a function (statistical algorithm) to the values of the items of the sample, which are known together as a set of data., A statistical model is a class of mathematical model, which embodies a set of assumptions concerning the generation of some sample data, and similar data from a larger population. A statistical model represents, often in considerably idealized form, the data-generating process., In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable quantity whose possible values depend, in random manner, on a set of random outcomes events. It is common that the outcome depends on some physical variables that are not well understood. For example,
when you toss a coin (or a die), it falls on its edge, and the final outcome formula_1 or formula_2
depends on the uncertain physics. What is not uncertain are the possible outcomes. Of course
the coin could get caught in a crack in the floor, but that is not a consideration. Essential to the definition of a random variable is the outcome space typically defined in terms of set theory or a set. In the case of the coin, the set is binary.
The member of the set are each labelled by a probability formula_3 where formula_4 labels the possible outcome values. Thus for the coin example,
there are formula_5 such that formula_6. The only outcomes allowed are those from the set, thus one
of these outcomes must have some measurable (non-zero) probability., Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In applying statistics to, e.g., a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model process to be studied. Populations can be diverse topics such as "all people living in a country" or "every atom composing a crystal". Statistics deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments., An "a priori" probability is a probability that is derived purely by deductive reasoning. One way of deriving "a priori" probabilities is the principle of indifference, which has the character of saying that, if there are "N" mutually exclusive and exhaustive events and if they are equally likely, then the probability of a given event occurring is 1/"N". Similarly the probability of one of a given collection of "K" events is "K"/"N"., Subject: probability distribution, Relation: subclass_of, Options: (A) analysis (B) attribute (C) c (D) campaign (E) character (F) class (G) coin (H) concept (I) consideration (J) country (K) course (L) data (M) data collection (N) design (O) die (P) edge (Q) event (R) experiment (S) fair (T) final (U) galaxy (V) game (W) government (X) group (Y) information (Z) mathematical model ([) measure (\) model (]) natural (^) number (_) order (`) organization (a) out (b) physics (c) principle (d) quantity (e) reasoning (f) single (g) statistic (h) statistics (i) study (j) theory (k) trade (l) value (m) variable

SOLUTION:
mathematical model