Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

In any given week, the chance that Janice buys one item online is $0.35$. In a single week, Janice never purchases more than one online item.
(i)[3]

Find the probability that Janice purchases no more than $7$ items online during a $10$-week interval.

(ii)[3]

The probability that Janice buys at least one online item in $n$ weeks exceeds $0.99$. Determine the smallest possible value of $n$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use a binomial probability setup or the complement $1-P(X=8,9,10)$

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