A professional basketball player makes 88% of the free throws he tries. Assuming this percentage will...

A professional basketball player makes 88% of the free throws he tries. Assuming this percentage will hold true for future attempts, find the probability that in the next 8 tries, the number of free throws he will make is exactly 8.

Round your answer to four decimal places.

P (exactly 8)= ???

Solutions

Expert Solution

This is a direct application of Binomial distribution with sample size = 8 and P(success) = 0.88

Let X be a Binomial random variable.

X ~ Binomial (n = 8, p = 0.88)

We want to find, P(X = 8)

P(X = 8) = 8C8 * (0.88)8 * (1 - 0.88)8-8 = 1 * (0.88)8 * 1 = 0.3596

=> P(exactly 8) = 0.3596

orchestra answered 1 year ago

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