In: Statistics and Probability
Multi-part question: According to the National Association of Realtors, 42% of U.S. homes sold in March 2017 were purchased by first-time buyers. A random sample of 179 people who just purchased homes is selected.
a. Calculate the standard error of the proportion.
b. What is the probability that less than 80 of them are first-time buyers?
c. What is the probability that more than 84 of them are first-time buyers?
d. What is the probability that between 66 and 72 of them are first-time buyers?