According to the U. S. Census Bureau, 47.5% of the U.S. population lives in the Eastern Time

Question:

According to the U. S. Census Bureau, 47.5% of the U.S. population lives in the Eastern Time Zone. A random sample of 50 U.S. residents is selected. Use the normal approximation to the binomial distribution to answer the following:

a. Calculate the mean and standard deviation for this distribution.

b. What is the probability that less than 20 people from the sample live in the Eastern Time Zone?

c. What is the probability that exactly 27 people from the sample live in the Eastern Time Zone?

d. What is the probability that more than 22 people from the sample live in the Eastern Time Zone?

e. What is the probability that 26, 27, or 28 people from the sample live in the Eastern Time Zone?

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...