6. X is a random variable given by the table below. Y is a random variable given by: Y = max(0, 0.8*(X-25)) a. What is E(Y)? b. What is SD(Y)? c. You are told that the X value in the best-case scenario is not 700 but rather some other value K. What is the value of K such that E(Y) = 1000, if all probabilities and all other X values remain the same? -30 20 50 700 P(X) 0.1 0.2 0.5 0.2 6. X is a random variable given by the table below. Y is a random variable given by: Y = max(0, 0.8*(X-25)) a. What is E(Y)? b. What is SD(Y)? c. You are told that the X value in the best-case scenario is not 700 but rather some other value K. What is the value of K such that E(Y) = 1000, if all probabilities and all other X values remain the same? -30 20 50 700 P(X) 0.1 0.2 0.5 0.2