1.. The random variable X has a density function given by: 3x 2 +1 f(x) = 2 defined over the region 0 0.25) is 23 or approximately equal to 0.2072. 111 (Hint: use conditional probability) (4 marks) ii. E(X) is 5/8 or 0.625 (2 marks) iii. V(X) is approximately equal to 0.07604 (2 marks) iv. Cov(X, X') is 1/12 or approximately equal to 0.0833. (2 marks)