standard_description: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
problem_activity: Problem 1
A company hires five people for the same job for one week. The amount that each person is paid for the week is shown in the table below.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"strong": [{"_value": "Person"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person E"}]}]}, {"td": [{"strong": [{"_value": "Amount Paid"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "$360"}, {"_attributes": {"style": "text-align:center"}, "_value": "$340"}, {"_attributes": {"style": "text-align:center"}, "_value": "$300"}, {"_attributes": {"style": "text-align:center"}, "_value": "$200"}, {"_attributes": {"style": "text-align:center"}, "_value": "$400"}]}]}]}]}
Person D states that the payments are not fair since each person is doing the same job and brings the same set of skills to the job. Everyone agrees that they should all get paid the same amount.
How much should each person get paid so that everyone gets the same amount? Assume that the company will spend the same amount as it currently is.
Problem 2
After finding the average or fair share payment for each person, Person E decides to not take the job because they would be making less money.
a.   If Person E leaves, then what is the new average payment of persons A–D?
b.   What impact did Person E leaving have on the average payment?
Problem 3
The company asks the five people how many hours each person worked that week to complete the job. The results are shown in the table below.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"strong": [{"_value": "Person"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Person E"}]}]}, {"td": [{"strong": [{"_value": "Hours worked"}]}, {"_attributes": {"style": "text-align:center"}, "_value": "24"}, {"_attributes": {"style": "text-align:center"}, "_value": "28"}, {"_attributes": {"style": "text-align:center"}, "_value": "22"}, {"_attributes": {"style": "text-align:center"}, "_value": "20"}, {"_attributes": {"style": "text-align:center"}, "_value": "36"}]}]}]}]}
What is the mean, or average, number of hours worked by a person last week?


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