The Poisson distributionEdexcel International A Level Further Maths: Mind map

Exam questions on The Poisson distribution

1. Typing errors occur at random in a manuscript at a mean rate of 1.5 per page. The number of errors on one page is modelled by $X\sim\text{Po}(1.5)$.
   Find the probability that a 2-page section contains no errors.2 marks
2. A call centre receives calls at random at a constant mean rate of 4 calls per 10 minutes.
   Find the probability that more than 6 calls are received in a 10-minute period.2 marks
3. Flaws occur at random in a roll of fabric at a mean rate of 0.4 per square metre. Flaws in separate pieces of fabric occur independently.
   Find the probability that a 5 m$^2$ piece of fabric contains at most 3 flaws.3 marks