1. The discrete random variable X has a probability mass function x = -2,-1 x = 0,1 x = 2 otherwise P(X=x)=- (0.1, B, 0.2, (a) Find the value of . (b) Construct the probability mass distribution of X. (c) Write the cumulative distribution function of X in functional form. F(x)= < (0, 2. The discrete random variable X has a cumulative distribution function F(x) defined by x < 1 1x3. x > 3 0, x + k where k is a constant and x an integer. 1 (a) Find the value of k if P(X = 4) = - 8 (b) Write the probability mass function of X. | 1, 8 [2 marks] [1 mark] [2 marks] [2 marks] [4 marks] 3. A lucky draw box has 50 tickets in which only 4 are prize tickets. You have three chances to draw a ticket. Using multiplication and addition rules, find the probability of X, the number of prizes that you get. [4 marks]