Question

Suppose I roll two six-sided dice and offer to pay you $10 times the sum of the numbers showing. (e.g., if I roll a 4 and a 5, I will pay you $10 * (5+4) = $90).
The probability chart for each roll is given: Roll (x) 2 3 4 5 6 7 8 9 10 11 12
Probability (p(x)) 0.027778 0.055556 0.083333 0.111111 0.138889 0.166667 0.138889 0.11111 0.083333 0.055556 0.027778

Now we are going to play the game 100 times in a row.
A) What is the expected total payment to you (the sum of the payments from all 100 games)?
B) What is the standard deviation of your total payout?
C) What is the probability you will earn more than $6200?
D) What is the probability you will earn less than $7200?
E) What is the probability you will earn between $6400 and $6850?

*Show work in Excel, please. I have already answered for one round of the game. I need to figure out how to do it for "Now we are going to play the game 100 times in a row."

Answer 1