SOLUTION: A basketball player routinely hits 85% of their free throws. What is probability this player at practice only makes 7 out of 11 free throws. Express answer as percentage rounded to

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Question 880622: A basketball player routinely hits 85% of their free throws. What is probability this player at practice only makes 7 out of 11 free throws. Express answer as percentage rounded to nearest tenth.
a. 7.4%
b.15.4%
c.25.4%
d.5.4%
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!

This is a binomial probability problem.

The probability of succeeding exactly x times out of n trials, if
the probability of 1 success in one trial is p, is given by the formula:

expr%28n%21%2F%28x%21%28n-x%29%21%29%29p%5Ex%2A%281-p%29%5E%28n-x%29

expr%2811%21%2F%287%21%2811-7%29%21%29%29%28.85%29%5E7%281-.85%29%5E%2811-7%29

0.0535564098 or about 5.4%

You can use binompdf(11,.85,7) on a TI-83 or 84.

Edwin