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.