1. Consider a simple game in which you roll two dice. If you roll an even total, you gain that number of points, and, if you roll an odd total, you lose that number of points.

a) Determine the probability distribution of points in this game.

b) What is the expected number of points per roll?

c) Is this game fair?

1. Explain why or why not .Mail-order marketing companies have a response rate of 15% to their advertising flyers.

a) Find the expected number of people in a sample of 20 who will respond to the flyers.

b) Find the probability that at least 3 people out of a sample of 20 respond to the flyers they receive.