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

0 547 23

1 5,112 541

2 6,100 3,832

3 2,544 8,690

4 times or more 557 3,783

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

than in renter-occupied houses, and the variability in the number of times is

Select

for the owner-occupied houses