Question: The American Housing Survey reported the following data on the number of bed rooms in owner occupied and renter-occupied houses in central cities
|
Number of Houses (1000s)
|
|
Bedrooms
|
Renter-Occupied
|
Owner-Occupied
|
|
0
|
547
|
23
|
|
1
|
5012
|
541
|
|
2
|
6100
|
3832
|
|
3
|
2644
|
8690
|
|
4 or more
|
557
|
3783
|
|
|
|
|
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-occupied homes?