CAIE S2 2021 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2021
SessionJune
TopicPoisson Distribution
TypeExpectation and variance of Poisson-related expressions

1 The number of goals scored by a team in a match is independent of other matches, and is denoted by the random variable \(X\), which has a Poisson distribution with mean 1.36. A supporter offers to make a donation of \(
) 5$ to the team for each goal that they score in the next 10 matches. Find the expectation and standard deviation of the amount that the supporter will pay.