The U.S. Census Bureau (Annual Social & Economic Supplement) collects demographics concerning the number of people in families per household. Assume the distribution of the number of people per household is shown in the following table:
x P(x)
2……………………..0.27
3……………………..0.25
4……………………..0.28
5……………………..0.13
6……………………..0.04
7……………………..0.03
a. Calculate the expected number of people in families per household in the United States.
b. Compute the variance and standard deviation of the number of people in families per household.