Problem 20E

Size of TV households. According to Nielsen’s Television Audience Report, 2010 & 2011, 26% of all U.S. TV households have a size of 1 person, 32% have a household size of 2, 17% have a household size of 3, and 25% have a household size of 4 or more. Let x represent the size (number of people) in a randomly selected TV household.

a. List the possible values of the discrete random variable x.

b. What is the probability that x = 1?

c. What is the probability that x ≥ 4?

d. Explain why you cannot compute E(x).

Solution:

Step 1 of 5:

According to to Nielsen’s Television Audience Report.

26% of all U.S. TV households have a size of 1 person, 32% of size 2, 17% of size 3 and 25% of size 4 or more.

x = the size in a randomly selected TV household.