An investor plans to put $50000 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 Years Economy
CD 6000 6000
Office 15,000 5000
Land 33,000 -17,000
Tech School 5500 10,000
Let V, W, X, and Y denote the payoffs for the CD, office complex, land speculation, and tech 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.