You play a game where the amount you win (or lose, if negative) can be $1,000, $100, $0, or -$2,000. Let X be the amount you win (or lose), and assume the distribution of X is the following: P(X = 1,000) = 0.1, P(X = 100) =0.5, P(X - 0) - 0.2, and P(X - -2,000) - 0.2. Which of the following is true (to the nearest dollar)? O a. Mean of X = -$250, Standard deviation of X = $709 O b. Mean of X = -$225, Standard deviation of X =$924 O c. Mean of X = -$250, Standard deviation of X - $918 O d. Mean of X = -$250, Standard deviation of X = $951