Question
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
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
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