Mathematics, 23.03.2020 17:04 alott1121
The opponents of soccer team A are of two types: either they are a class 1 or a class 2 team. The number of goals team A scores against a class i opponent is a Poisson random variable with mean λ , where λ = 2, λ = 3. This weekend the team has two games against teams they are not very familiar with. Assuming that the first team they play is a class 1 team with probability 0.6 and the second is, independently of the class of the first team, a class 1 team with probability 0.3, determine
(a) the expected number of goals team A will score this weekend.
(b) the probability that team A will score a total of five goals.
I need help with part b of this question. I have part a covered. Please explain in detail on how to obtain the answer for part b.
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