A consultant is beginning work on three projects. The expected profits from these projects are $50,000, $72,000,

Question:

A consultant is beginning work on three projects. The expected profits from these projects are $50,000, $72,000, and $40,000. The associated standard deviations are $10,000, $12,000, and $9,000. Assuming independence of outcomes, find the mean and standard deviation of the consultant's total profit from these three projects.