Prizes hidden on a game board with 10 spaces. One prize is worth $100, another is worth $50, and tw

[math_celebrity]

Imagine you are in a game show. Prizes hidden on a game board with 10 spaces. One prize is worth $100, another is worth $50, and two are worth $10. You have to pay $20 to the host if your choice is not correct. Let the random variable x be the winning

(a) What is your expected winning in this game?
(b) Determine the standard deviation of x. (Round the answer to two decimal places)

(a) 100(0.1) + 50(0.1) + 10(0.2) - 20 = 10 + 5 + 2 - 20 = -3
(b) 3.3 using our standard deviation calculator