18. TheAmericanHousingSurveyreportedthefollowingdataonthenumberofbedroomsinowneroccupied and renter-occupied houses in central cities (http://www.census.gov, March 31, 2003).

a. Define a random variable x  number of bedrooms in renter-occupied houses and develop a probability distribution for the random variable. (Let x  4 represent 4 or more bedrooms.)

b. Compute the expected value and variance for the number of bedrooms in renteroccupied houses.

c. Define a random variable y  number of bedrooms in owner-occupied houses and develop a probability distribution for the random variable. (Let y  4 represent 4 or more bedrooms.)

d. Compute the expected value and variance for the number of bedrooms in owneroccupied houses.

e. What observations can you make from a comparison of the number of bedrooms in renter-occupied versus owner-occupied homes?