Test 1 Winter 2023 7. Suppose I have a Poisson random variable X with = 1.7, and a random variable Y with the following distribution: Y P(Y) -1 0.3 0 0.2 10 20 0.2 0.3 Further, we may suppose that X and Y are independent. a) What is E(5Y2-3X)? [4 marks total] 5E(y) (5 y = 3x) = 5E (f) - 3 Ex)=5 (139.7) -3(1.7)=6934 3) = 7 (0.3)+85 (0.2)+15 (0.2)+20 (0.3)=139 a) What is P(X < 2)? [3 marks total] a) What is P(X + Y > 0)? [4 marks total]