Calvin makes 65% of the penalty kicks he takes. He is practicing penalty kicks with his friend Hobbes. He takes 10 shots. What is the probability that he makes exactly 7 of them?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Calvin makes 65% of the penalty kicks he takes. He is practicing penalty kicks with his friend Hobbes. He takes 10 shots. What is the probability that he makes exactly 7 of them? 

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Step 1

From the provided information,

Sample size (n) = 10

Calvin makes 65% of the penalty kicks he takes that is p = 0.65

The process should follow binomial distribution with probability distribution function as follow:

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