To play a game you must pay $5 for each play. There is a 10% chance you win $7, a 35% chance you win $5, and a 45% chance you win only $1.
Question 1: Find the probability distribution of your net winnings if you play one time. Calculate the mean and the standard deviation.
Question 2: You play twice. Assuming the plays are independent events, what are the mean and the standard deviation of your total winnings?