There are 100 prizes with one worth $1, one worth $2, ... and one worth $100. Th
ID: 2927665 • Letter: T
Question
There are 100 prizes with one worth $1, one worth $2, ... and one worth $100. There are hundred boxes, each of which contains one of the prizes. You get five prizes by picking a random boxes one at a time, without replacement. Find the PMF of how much your most valuable prize is worth (as a simple expression in terms of binomial coefficients). There are 100 prizes with one worth $1, one worth $2, ... and one worth $100. There are hundred boxes, each of which contains one of the prizes. You get five prizes by picking a random boxes one at a time, without replacement. Find the PMF of how much your most valuable prize is worth (as a simple expression in terms of binomial coefficients).Explanation / Answer
Total number of boxes = 100
P(picking any particular box) = 1/100
P(not picking any particular box= 1-1/100 = 99/100
n = 100
r = 5
PMF = 100C5 * (1/100)5 * (99/100)95
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