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It is known that a certain basketball player will successfully make a free throw 90.71% of the time. Suppose that the basketball player attempts to make 11 free throws. What is the probability that the basketball player will make at least 8 free throws?

It is known that a certain basketball player will successfully make a free throw 90.71% of the time. Suppose that the basketball player attempts to make 11 free throws. What is the probability that the basketball player will make at least 8 free throws?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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It is known that a certain basketball player will successfully make a free throw 90.71% of the time. Suppose that the basketball player attempts to make 11 free throws. What is the probability that the basketball player will make at least 8 free throws? 

Expert Solution
Step 1: Introduce the given information

From the given information,

P = 90.71%= 0.9071

So, 

q = 1- P = 1-0.9071 = 0.0929

n = 11

we have to find the probability that the basketball player will make at least 8 free throws.

Using formula,

P left parenthesis X equals x right parenthesis space equals space scriptbase C subscript x left parenthesis P right parenthesis to the power of x end scriptbase presuperscript n left parenthesis 1 minus P right parenthesis to the power of n minus x end exponent

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