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There are 100 prizes with one worth $1, one worth $2, ... and one worth $100. Th

ID: 3331254 • 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