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Suppose that a student needs to buy 6 books for her history course. The number of books that she will be able to find used is a binomial random variable X with n = 6 and p = 0.30. In other words, the probability that she will find any given book used is 0.30, and is independent from one book to the next.
-What is the probability that she will find exactly 3 used books?
A) 0.060
B) 0.185
C) 0.324
D) 0.900

Question

Use the following information for questions:
 Suppose that a student needs to buy 6 books for her history course. The number of books that she will be able to find used is a binomial random variable X with n = 6 and p = 0.30. In other words, the probability that she will find any given book used is 0.30, and is independent from one book to the next.
-What is the probability that she will find exactly 3 used books?
A) 0.060
B) 0.185
C) 0.324
D) 0.900

Quizplus · Accepted Answer

The probability of finding exactly 3 used books out of 6, when the probability of finding any given book used is 0.30, can be calculated using the binomial probability formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k). Here, n = 6, k = 3, and p = 0.30. Plugging these values into the formula gives P(X = 3) = (6 choose 3) * (0.30)^3 * (0.70)^3 = 0.185.

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