Page 1 of 8 [5 marks] 1. State whether the following statements are true or false. . (No explanation is necessary.) (a) If E(X) = a, then E(1/X) = 1/a. (b) A class consists of 63 students. Fifteen of these students received an "A" for the final exam. Five students are selected at random from this group. The number of students who received an "A" among the 15 selected students follows a binomial distribution. (c) If Y is a continuous random variable, then P(Y = y) is zero. (d) Moments, moment generating function, and cumulative distribution function are unique to each random variable and can be used to identify the distributions. (e) Suppose that X is a random variable, Var(2 + 6e*) - 36Var(ex) is an incorrect state- ment becasue ed is a not linear function of X