STAT 430 Final: STAT 430 UPenn Final S02

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31 Jan 2019
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Write your answers in the supplied blue books. You must show all work related to the solution in order to receive full credit. The items (not the questions) are approximately equally weighted. Be sure to attempt all items of each question: the big lottery is conducted in the following manner. An urn holds 50 balls, numbered from 1 to: the balls are mixed, and 6 are drawn in succession, without replacement. In order to win, an entry must match these 6 numbers. Order of the numbers is not important. (a) if the holder of any winning ticket is paid million, then what is the expected value of a. If we win, we get million from the lottery. Let x denote the number of winning entrants. Find the probability density of x. (c) in actuality, the total prize ( million) is split among all winning entrants.