The American Housing Survey reported the following data on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months.

	Number of Houses (1000s)
Number of Times	Owner Occupied		Renter Occupied
0	548		23
1	5,012		541
2	6,110		3,734
3	2,544		8,660
4 times or more	557		3,784

Do not round intermediate calculations. Round your answers to two decimal places.

a. Define a random variable x = number of times that owner-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let x = 4 represent 4 or more times.)

x	f(x)
0
1
2
3
4
Total

b. Compute the expected value and variance for x.

	Total
E(x)
Var(x)

c. Define a random variable y = number of times that renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let y = 4 represent 4 or more times.)

y	f(y)
0
1
2
3
4
Total

d. Compute the expected value and variance for y.

	Total
E(y)
Var(y)

e. What observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units?

The number of times of water supply stoppages in owner-occupied houses is Select greater / less than in renter-occupied houses, and the variability in the number of times is Select greater less for the owner-occupied houses