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?
What will be an ideal response?
Let X represent the number of adults who have a college degree.
Then X ~ Bin(100, 0.30), so Xis approximately normal with mean 
=100(0.30)=30 and standard deviation
To find P(X >35), use the continuity correction and find the z-score of 35.5.
The z-score of 35.5 is (35.5 ? 30) ?4.5826 = 1.20.
The area to the right of z= 1.20 is 1 ? 0.8849 = 0.1151.
P(X>35) = 0.1151.
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