Cheyenne F.

asked • 07/15/14

Binomial Distribution

A box contains the 120 numbers, of which 48 are negative (less than zero), 60 between 0 and 10, with the remaining 12 being bigger than 10. We will make 64 draws from this box, one at a time, possibly with or without replacement. Thus, we will obtain a SRS of size 64. Let the random variable X be the COUNT of negative numbers among the 64 sampled. Let Y be the COUNT of numbers bigger than 10 among the 64 sampled.

1. Refer to exhibit 1. Consider the draws to be made with replacement. What is the probability that X = 47?

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