Among the adults in a large city, 30% have a college degree. A simple random sample of 100 adults is chosen. What is the probability that more than 35 of them have a college degree?

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Here we need to find the probability of more than 35 of them having college degree

Given that 30% having the college degree p=0.30

A random sample of 100 is chosen n=100

Let X represents no. of adults having college degree

XB(100,0.3)

So X is approximately following the normal distribution with

Mean=np

=100(0.3)

=30

Variance =npq

=100(0.3)(0.7)

=21

Hence =

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