You roll two dice, one red and one blue, and calculate the sum. For every dot on your dice you get $5, but it costs you $40 to play. This is a transformation because we are adding and multiplying by a constant rather than combining different variables together.

Find the mean amount of money made.

y=a+bx=


Find the standard deviation for the amount of money made.

y=b x=


Do you expect to make or lose money playing this game repeatedly? Explain your answer.




You play 5 total games. What is the mean and standard deviation for your total winnings? Is this a combination or a transformation? Explain.