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Find the expectation and standard deviation for the amount the supporter will pay.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
The number of goals a team scores in a match is independent of any other matches, and the random variable $X$ represents this. $X$ has a Poisson distribution with mean $1.36$. A supporter says they will donate $5 to the team for every goal the team scores in the next $10$ matches.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Calculate the Poisson mean as $\lambda = 10 \times 1.36 = 13.6$” …
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