Thanks in advance.

Chapter 05, Section 5.3, Problem 024 An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 1000 tickets contain a prize of $5 each, 125 tickets have a prize of $10 each, 6 tickets have a prize of $1000 each, and 1 ticket has a prize of $5000. Let x be the random variable that denotes the net amount a player wins by playing this lottery. Write the probability distribution of x. Enter the exact answers. Enter your answers forx in increasing order. x P (x) Determine the mean and standard deviation of x. Round your answers to two decimal places. On average, the players who play this game are expected to J $ 7 7 7 , per ticket with a standard deviation of $