4.95 In business, it is important to plan and carry out research in order to anticipate what will occur at the end of the year. Research suggests that the profit (loss)

spectrum for a certain company, with corresponding probabilities, is as follows:

Profit Probability −$15, 000 0.05 $0 0.15 $15,000 0.15 $25,000 0.30 $40,000 0.15 $50,000 0.10 $100,000 0.05 $150,000 0.03 $200,000 0.02

(a) What is the expected profit?

(b) Give the standard deviation of the profit.