Exercises: Calculate the expected values and variances of the following probability distributions, where the possible values of the random variable are in curly brackets, and the probability of each value is indicated as P(:1:). Exercise 5.2.1. X = {0, 1} and P[0) = 0.1, 13(1) 2 0.9 Exercise 5.2.2. X = {10,15, 100} and P(10) = 0.5, P(15] = 0.3, P(100) = 0.2 Exercise 5.2.3. X = {0, 1, 2, 3,4} and P[0) = 0.2, P(1) = 0.2, P(2) = 0.2,P(3) = 0.2, 13(4) 2 0.2 Exercise 5.2.4. X = {1.5,0.4,0.3,0.9} and P(1.5) = 0.4,P[0.4) = 0.2, P(0.3) = 0.35, P(0.9) = 0.05