A spinner with five regions is used in a game. The probabilities of the regions are:

P(1)=0.2

P(2)=0.3

P(3)=0.2

P(4)=0.2

P(5)=0.1

The rules of the game are as follows.

If you spin and land on an even number, you lose double that number of points.

If you land on an odd number, you receive that number of points.

a) Sketch and label a spinner that will generate the probabilities shown above

b) What is the expected number of points a player will win or lose?

c) Sketch a graph of the probability distribution of this game.

d) Show that this game is not fair. Explain in words.