Mathematics 9709 · AS & A Level · The Poisson distribution

The Poisson distribution — practice question

The daily number of enquiries reaching a customer service desk follows a Poisson distribution with mean $45.2$. If over 60 enquiries arrive in one day, the customer service desk is unable to handle all of them.
(main)[4]

Use an appropriate approximating distribution to determine the probability that, on a randomly selected day, the customer service desk is unable to deal 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: Identify the distribution as $N(45.2,\,45.2)$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI