The Poisson distributionEdexcel A-Level Further Maths: Mind map

Exam questions on The Poisson distribution

1. The number of emails, $X$, received by an office in a 10-minute period is modelled by $X\sim\text{Po}(3.5)$.
   Find $P(2<X\leq6)$.2 marks
2. A helpline receives calls at random, independently of each other, at a mean rate of 6 per hour.
   Find the probability that exactly one call is received in each of two successive 20-minute periods.2 marks
3. A café receives online orders at a mean rate of 3 per hour and phone orders at a mean rate of 2 per hour. Both types of order arrive at random and independently of each other.
   Find the probability that at least 2 orders in total are received in a 30-minute period.3 marks