1) Fill in the missing value so that the following table represents a probability distribution.

x 5 6 7 8

P(x) 0.31 0.29 ? 0.03

2) The weights of 6-week-old poults (juvenile turkeys) are normally distributed with a mean 8.5 pounds and standard deviation 1.8 pounds. A turkey farmer wants to provide a money-back guarantee that her 6-week poults will weigh at least a certain amount.

What weight should she guarantee so that she will have to give her customer's money back only 1% of the time?

A) 5.17 lb B) 4.74 lb

C) 4.31 lb D) 3.88 lb

3). An investor is considering a $20,000 investment in a start-up company. She estimates that she has probability 0.25 of a $15,000 loss, probability 0.1 of a $25,000 profit, probability 0.2 of a $35,000 profit, and probability 0.45 of breaking even (a profit of $0). What is the expected value of the profit?