If you land in a penalty zone on the game board described in given Exercise, your move will be determined by subtracting the roll of the die from the result on the spinner. Now what are the mean and standard deviation of the number of spots you may move?

Exercise :
Child s play. In a board game you determine the number of spaces you may move by spinning a spinner and rolling a die. The spinner has three regions: Half of the spinner is marked 5, and the other half is equally divided between 10 and 20. The six faces of the die show 0, 0, 1, 2, 3, and 4 spots. When it's your turn, you spin and roll, adding the numbers together to determine how far you may move.

a) Create a probability model for the outcome on the spinner.

b) Find the mean and standard deviation of the spinner results.

c) Create a probability model for the outcome on the die.

d) Find the mean and standard deviation of the die results.

e) Find the mean and standard deviation of the number of spaces you get to move.