A factory manager is considering whether to replace a temperamental machine. A review of past records indicates the following probability distribution for the number of breakdowns of this machine in a week.

Num of breakdowns. 0, 1, 2, 3, 4

Probability 0.1, 0.26, 0.42,0.16,0.06

a. Find the mean and standard deviation of the number of weekly breakdowns.

b. It is estimated that each breakdown costs the company $1500 in lost output. Find the mean and standard deviation of the weekly cost to the company from breakdowns of this machine.