According to the U S Census Bureau 47 5 of the
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?
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