Question: 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

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

a. Find the mean and standard deviation of the number of weekly breakdowns.
b. It is estimated that each breakdown costs the company $1,500 in lost output. Find the mean and standard deviation of the weekly cost to the company from breakdowns of this machine.

Number of breakdowns 0234 Probability 0.10 026 0.42 0.16 0.06

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