Question 3 Suppose X has a probability function defined as follows:- fx (x) = (0.6 )(0.4) x = 0,1,2, .. 0 otherwise. (a) Calculate Ix(2) _fx(3) fx(1) fx (2) [3 marks] (b) Given the following events, C and D where both are sets of non-negative integer numbers such that, C = {x E Z|x E non odd number} and D = (x E Z x S 10). Calculate:- (i) P(C). [5 marks] (ii) P(D). [3 marks] (ili) P(C nD). [3 marks] (iv) P(CAD). [4 marks]