Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

The daily number of enquiries handled by a customer service desk follows a Poisson distribution with mean $45.2$. If a day brings in more than 60 enquiries, the customer service desk is unable to cope with them all.
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Use a suitable approximating distribution to determine the probability that, on a randomly selected day, the customer service desk cannot cope with every enquiry received.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: States the distribution as $N(45.2, 45.2)$

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