Let X be a random variable with the following probability distribution: x -3 6 9 f(x) 6 2 3 Find E(X) and E (X²) and then, using these values, evaluate E [(2X + 1)²].

On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?