An investor plans to put $50,000 in one of four investments. The return on each investment depends on whether next year's economy is strong or weak. The following table summarizes the possible payoffs, in dollars, for the four investments.
|
Next Year's Economy
|
|
Strong
|
Weak
|
|
Certificate of Deposit
|
6000
|
6000
|
|
Office Complex
|
15000
|
5000
|
|
Land Speculation
|
33000
|
-17000
|
|
Technical School
|
5500
|
10000
|
Let V, W, X, and Y denote the payoffs for the certi?cate of deposit, of?ce complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year's economy has a 40% chance of being strong and a 60% chance of being weak.
a. Find the probability distribution of each random variable V, W, X, and Y.
b. Determine the expected value of each random variable.
c. Which investment has the best expected payoff? Which has the worst?
Which investment would you select? Explain