Problem#2 (15 points). Consider the discrete distribution below. The random variable is given by letter x. P(x) 0.35 0.22 2 0.15 3 0.20 4 0.06 5 0.02 a) Is the above distribution a discrete probability distribution? Justify your answer. (3 points) Solution: b) Find the mean of the above probability distribution ? Show all your steps. (3 points) Solution: ) Find the variance of the above probability distribution? Show all your steps. (3 points) Solution: d) Find the standard deviation of the above Probability distribution? Show all your steps. (3 points) Solution: e) Find the expected value of the random variable given by x? Show all your steps. (3 points) Solution