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In: Statistics and Probability

A basketball player makes 60% of his shots from the free throw line. Suppose that each...

A basketball player makes 60% of his shots from the free throw line. Suppose that each of his shots can be considered independent and that he takes 4 shots. Let X = the number of shots that he makes. What is the probability that he makes all 4 shots?

Solutions

Expert Solution

X ~ Binomial (n,p)

Where n = 4 , p = 0.60

Binomial probability distribution is

P(X) = nCx px ( 1 -p )n-x

So,

P( X = 4) = 4C4 0.604 (1 -0.60)0

= 0.1296

orchestra answered 2 years ago
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