1.Suppose you are considering two investments, and the critical issues are the rates of return (R₁ and R₂). For Investment 1, the expected rate of return (₁) is 10%, and the standard deviation (₁) is 3%. For the second investment, the expected rate of return (₂) is 20%, and the standard deviation (₂) is 12%.

a)Does it make sense to decide between these two investments on the basis of expected value alone? Why or why not?

b)Does it make sense to represent the uncertainty surrounding the rates of return with normal distributions? What conditions do we need for the normal distribution to provide a good fit?

c)Suppose you have decided to use normal distributions (either because of or in spite of your answer to part b). Find the following probabilities:

P(R₁ < 0%)

P(R₂ < 0%)

P(R₁ >20%)

P(R₂ < 10%)

2.Annual demand for a drug is normally distributed with a mean of 40,000 units and a standard deviation of 10,000 units.

a)What is the probability that annual demand is from 35,000 through 49,000 units?

b)If you want to have only a 5 percent chance of running out of the drug, at what level should you set annual production?