Question

A student needs to buy 6 books this semester. The number of books that she will be able to find used is a binomial random variable with n-6 and p 0.30. In other words, the probability that she will find any given book used is 0.30. Assuming that all events are independent, what is the probability that she will find exactly 2 used books? Round your final answer to three decimal places

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Answer #1

Let X be the number of used books

X ~BInomial(6,0.30)

The probability that she finds exactly 2 used books is :

P(X=2)

P(X=2) =\binom{6}{2}(0.30)^{2}(0.70)^{6-2} =0.324

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