Probability 3.

(d) The random variable X takes only the values 3, 5, 8 and 10 according to the following probability distribution: 13 5 8 10 Px (T) k k k 2k i. Determine the constant k and hence write down the probability distribution of X. ii. Find E(X), the expected value of X. iii. Find Var(X), the variance of X