Suppose a simple random sample of size n=1000 is obtained from a population whose size is N=2,000,000 and whose population proportion with a specified characteristic is p=0.58.     What is the probability of obtaining x=540 or fewer individuals with the​ characteristic?

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Suppose a simple random sample of size
n=1000
is obtained from a population whose size is
N=2,000,000
and whose population proportion with a specified characteristic is
p=0.58.
 
 
What is the probability of obtaining
x=540
or fewer individuals with the​ characteristic?
Expert Solution
Step 1

Here is given that, sample is 1000 and proportion is 0.58.

We will use binomial distribution to find mean and standard deviation then use z-standard normal approximation.

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