7. (21 1045) A free-throw competition gives a basketball player 8 chances to shoot with the following payout: "All 8 in" wins $20 "6-7 in" wins $10 "4-5 in" wins $3 Otherwise, loses $5. Construct the probability distribution of the payout for a player whose free-throw success rate is 40% Then extend to compute the expectation and standard deviation of the payout. Note: Use Binomial Distribution. Round probability to 3 decimal-places