The die Find the standard deviation of the amount you might win rolling a die in Exercise 18. Exercise 18 You bet! You roll a fair die. If it comes up a 6, you win $100. If not, you get to roll again....

The die Find the standard deviation of the amount you might win rolling a die in Exercise 18.

Exercise 18

You bet! You roll a fair die. If it comes up a 6, you win $100. If not, you get to roll again. If you get a 6 the second time, you win $50. If not, you lose and win nothing.

 a) Create a probability model for the amount you win.

 b) Find the expected amount you’ll win.

 c) What would you be willing to pay to play this game?