(a)[3]
Construct a probability distribution table for $X$ in terms of $k$, then determine $k$.
(b)[2]
Find the value of $\text{E}(X)$.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
In this probability distribution, the random variable $X$ may only take the values $1, 2, 3, 4, 5$, and the probability of getting $x$ is $kx$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Spotting probabilities that are proportional to $k$ for $x=1,2,3,4,5$” …
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