A recent survey found that 82% of college graduates believe their degree was a good investment (cnbc.com,

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A recent survey found that 82% of college graduates believe their degree was a good investment (cnbc.com, February 27, 2020). Suppose a random sample of 100 college graduates is taken.

a. What is the expected value and the standard error for the sampling distribution of the sample proportion? 

b. What is the probability that the sample proportion is less than 0.80? 

c. What is the probability that the sample proportion is within ± 0.02 of the population proportion?

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