Question

In: Math

Suppose a simple random sample of size n equals=1000 is obtained from a population whose size...

Suppose a simple random sample of size n equals=1000 is obtained from a population whose size is N equals=1,000,000 and whose population proportion with a specified characteristic is p=0.74.

​(b) What is the probability of obtaining x=770 or more individuals with the​ characteristic?

​(c) What is the probability of obtaining x=720 or fewer individuals with the​ characteristic?

​(Round to four decimal places as​ needed.)

How to solve these problems in Statcrunch? Thank you!

Solutions

Expert Solution

Let X denotes the number of individuals with the​ characteristic out of 1000 randomly selected individuals.

X ~ Binomial(n = 1000, p = 0.74)

The probability mass function of X is

b) The probability of obtaining x=770 or more individuals with the​ characteristic

c) The probability of obtaining x=720 or fewer individuals with the​ characteristic


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