*******Please solve Var(x) and Var (y) for B and D, I have already answered the rest

The American Housing Survey reported the following data on the number of bedrooms in owner-occupied and renter-occupied houses in central cities.

Number of Houses (1000s)
Bedrooms	Renter-Occupied	Owner-Occupied
0	546	21
1	5,112	541
2	6,100	3,832
3	2,544	8,690
4 or more	558	3,783

Round your answers to two decimal places.

a. Ifx= number of bedrooms in renter-occupied houses and develop a probability distribution for the random variable. (Letx= 4 represent 4 or more bedrooms.)

x	f(x)
0	0.04
1	0.34
2	0.41
3	0.17
4	0.04
Total	1.00

b. Compute the expected value and variance for the number of bedrooms in renter-occupied houses.

	Total
E(x)	1.83
Var(x)	???

c. Ify= number of bedrooms in owner-occupied houses and develop a probability distribution for the random variable. (Lety= 4 represent 4 or more bedrooms.)

y	f(y)
0	0
1	0.03
2	0.23
3	0.52
4	0.22
Total	1

d. Compute the expected value and variance for the number of bedrooms in owner-occupied houses.

	Total
E(y)	2.93
Var(y)	???????