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.\\

\hfill \mbox{\textit{CAIE S2 2021 Q1}}