explain

Section 4 Q19. Given the probability distribution for a soccer team. (10 marks) Goals (X) O 1 2 3 4 Probability P(X) 0. 18 0.34 0.35 0. 11 0.02 E(X) = M = Ex; P(x;) Var ( X) - Ex, P(x, ) - (1 ) all x all x 1. Check if the given distribution is a valid probability function. Show all steps. (2 marks) 2. What is the probability that the team scores at least 2 goals? (1 mark) 3. What is the probability that the team scores at most 2 goals? (1 mark) 4. Find the expected value of goals for the soccer team E(X). (3 marks) 5. Find the variance of the of goals for the soccer team Var(X)