Recall the probability distribution for nonfamily household size given in Exercise 11.4.9. 

a. What was the mean nonfamily household size in the United States in 2016? 

b. What was the standard deviation for nonfamily household size in the United States in 2016?

Data from Exercise 11.4.9

According to the U.S. Census Bureau, the following table gives the probability distribution that a randomly chosen nonfamily household in the United States in 2016 has Y members. A nonfamily house-hold is where people live alone or share a residence with unrelated individuals. 

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у 1 2 3 4 P(y) 0.8110 0.1536 0.0242 0.0081 5 0.0023 6 0.0003 7 0.0004