SOLVED:A discrete probability distribution for a random variable X is given. Use the given distribution to find (a) P(X ≥2) and (b) E(X). xi 1 2 3 4 pi 0.4 0.2 0.2 0.2

SOLVED:A discrete probability distribution for a random variable X̅ is given. Use the given distribution to find (a) P(X ≥2) and (b) E(X). xi -0.1 100 1000 pi 0.980 0.018 0.002

SOLVED: The discrete random variable Y has probability distribution given by P (Y =y) 10 where b is a constant Determine the value of b marks) Determine expected of Y 3 marks) Determine Var (Y) marks) The random variable Z = 6- 2Y . Calculale Var (Z) (2 marks)