One state lottery has 1000 prizes of $1, 120 prizes of $10, 20 prizes of $55, 5 prizes of $360, 2 prizes of $1150, and 1 prize of $2800. Suppose that 36000 lottery tickets are issued and sold for $1.
Determine the lottery's expected profit per ticket? (both rounded to 4 decimals)
Determine the lottery's standard deviation of profit per ticket?