The American Housing Survey reported the following data on the number of bedrooms in owneroccupied and renter-occupied houses in central cities (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?