After analyzing several months of sales data, the owner of an appliance store produced the following joint probability distribution of the number of refrigerators and stoves sold daily.

Refrigerators Stoves 0 1 2 0 .08 .14 .12 1 .09 .17 .13 2 .05 .18 .04

a. Find the marginal probability distribution of the number of refrigerators sold daily.

b. Find the marginal probability distribution of the number of stoves sold daily.

c. Compute the mean and variance of the number of refrigerators sold daily.

d. Compute the mean and variance of the number of stoves sold daily.

e. Compute the covariance and the coefficient of correlation.