I'm stuck on part c) answer to a and b are 0.05 and 0.162 respectively. The answer to c) should be 0.06.

13. The number of goals X scored by football team A in home matches agamst team as a Poisson distribution with mean 2. Verify that rP(X = r)=2P(X=r1), r=1,2,.... The number of goals Y scored by team ,8 in away matches against A has a Poisson distribution with mean 1. Write down the relationship connecting P(Y = r) and P(Y = r l), for r 2 1. Assuming that X and Y are independent, nd the probabilities, correct to two decimal places, that in a match between A and B, on A's home ground, (a) neither A nor 8 scores, (b) A and 3 score an equal, non-zero number of goals, (1MB) (0) A scores more goals than B