A game To play a game, you must pay $5 for each play. There is a 10% chance you will win $5, a 40% chance you will win $7, and a 50% chance you will win only $3. a) What are the mean and standard...

A game To play a game, you must pay $5 for each play. There is a 10% chance you will win $5, a 40% chance you will win $7, and a 50% chance you will win only $3.

a) What are the mean and standard deviation of your net winnings?

 b) You play twice. Assuming the plays are independent events, what are the mean and standard deviation of your total winnings?