claim: Dawood Ibrahim is an American gangster.
evidence: In probability theory and statistics , the trapezoidal distribution is a continuous probability distribution which resembles a trapezoid .. probability theory. probability theory. statistics. statistics. probability distribution. probability distribution. trapezoid. trapezoid. Likewise , trapezoidal distributions also roughly resemble mesas or plateus .. mesas. Mesa. plateus. Plateau. Each trapezoidal distribution has a lower limit and an upper limit , beyond which no values or events on the distribution can occur -LRB- i.e. beyond which the probability is always zero -RRB- .. In addition , there are two sharp bending points within the probability distribution , which we will call and , which occur between and , such that .. probability distribution. probability distribution. The image to the right shows a perfectly linear trapezoidal distribution .. However , not all trapezoidal distributions are so precisely shaped .. In the standard case , where the middle part of the trapezoid is completely flat , and the side ramps are perfectly linear , all of the values between and will occur with equal frequency , and therefore all such points will be modes -LRB- local frequency maxima -RRB- of the distribution .. trapezoid. trapezoid. modes. Mode ( statistics ). maxima. Maxima and minima. On the other hand though , if the middle part of the the trapezoid is not completely flat , or if one or both of the side ramps are not perfectly linear , then the trapezoidal distribution in question is a generalized trapezoidal distribution , and more complicated and context-dependent rules may apply .. trapezoid. trapezoid. generalized trapezoidal distribution. generalized trapezoidal distribution. The side ramps of a trapezoidal distribution are not required to be symmetric in the general case , just as the sides of trapezoids in geometry are not required to be symmetric .. geometry. geometry. Special cases of the trapezoidal distribution include the uniform distribution -LRB- with and -RRB- and the triangular distribution -LRB- with -RRB- .. uniform distribution. uniform distribution ( continuous ). triangular distribution. triangular distribution. uniform. Uniform distribution ( continuous ). triangular. Triangular distribution. Trapezoidal probability distributions seem to not be discussed very often in the literature .. The uniform , triangular , Irwin-Hall , Bates , Poisson , normal , bimodal , and multimodal distributions are all more frequently discussed in the literature .. uniform. Uniform distribution ( continuous ). triangular. Triangular distribution. Irwin-Hall. Irwin–Hall distribution. Bates. Bates distribution. Poisson. Poisson distribution. normal. Normal distribution. bimodal. Multimodal distribution. multimodal. Multimodal distribution. This may be because these other -LRB- non-trapezoidal -RRB- distributions seem to occur more frequently in nature than the trapezoidal distribution does .. The normal distribution in particular is especially common in nature , just as one would expect from the central limit theorem .. normal. Normal distribution. normal distribution. normal distribution. central limit theorem. central limit theorem