Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=1,000,000 and whose population proportion with a specified characteristic is p=0.76. What is the probability of obtaining x=780 or more individuals with the​ characteristic?

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=1000 is obtained from a population whose size is N=1,000,000 and whose population proportion with a specified characteristic is p=0.76.

What is the probability of obtaining x=780 or more individuals with the​ characteristic?

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What is the probability of obtaining
x=730
or fewer individuals with the​ characteristic?
 
​P(x≤730​)=
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