uppose a simple random sample of size n=150 is obtained from a population whose size is N=15,000 and whose population proportion with a specified characteristic is p=0.8. What is the probability of obtaining x=114 or fewer individuals with the​ characteristic? That​ is, what is ​P(p≤0.76​)?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose a simple random sample of size

n=150

is obtained from a population whose size is

N=15,000

and whose population proportion with a specified characteristic is

p=0.8.
What is the probability of obtaining
x=114
or fewer individuals with the​ characteristic? That​ is, what is
​P(p≤0.76​)?
 
​P(p≤0.76​)=
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