Suppose that Li is playing a game. On each turn Li either gets or loses points. Let Y be the number of points Li gets on a turn. The pdf of Y is given below. Use the table to answer the following questions. a. Find the probability that Li gains points (Y > 0). b. Find the expected value or mean of Y. c. If Li's goal is to obtain points and she can play the game for many turns, should she play the game? Why? d. Find the standard deviation of Y. e. Find the probability that Y is within one standard deviation of its mean