This document contains June 2022 OCR A Level Further Mathematics B MEI Y422/01 Statistics Major. Questions with answers. Download to score an A.

During a meteor shower, the number of meteors that can be seen at a particular location can be

modelled by a Poisson distribution with mean 1.2 per minute.

(a) Find the probability that exactly 2 meteors are seen in a period of 1 minute. [1]

(b) Find the probability that more than 3 meteors are seen in a period of 1 minute. [2]

(c) Find the probability that no more than 8 meteors are seen in a period of 10 minutes. [2]

(d) Explain what the fact that the number of meteors seen can be modelled by a Poisson distribution

tells you about the occurrence of meteors. [2]

2 A manufacturer is testing how long coloured LED lights will last before the battery runs out,

using two different battery types. The times in hours before the battery runs out are modelled by

independent Normal distributions with means and standard deviations as shown in the table.