The American Housing Survey reported the following data on the number of bedrooms in owner-occupied 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 renter-occupied 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 owner-occupied houses.
e. What observations can you make from a comparison of the number of bedrooms in renter-occupied versus owner-occupiedhomes?

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Number of Houses (1000s) Bedrooms -L Renter-Occupied 547 5012 6100 2644 557 Owner-Occupied 23 541 3832 8690 3783 4 or more