The aeroplanes used on a particular route have 60 seats. The proportion of passengers who use this route to travel for business is known to be 22%.
The number of passengers on an aeroplane who are travelling for business is modelled by the random variable XXX, where X∼B(60,0.22)X \sim B(60, 0.22)X∼B(60,0.22).
Find the mean and the variance of XXX.
Find P(X≥10)P(X \ge 10)P(X≥10).
Make two comments on whether it would be appropriate to use X X\,X to model the number of passengers on an aeroplane who are travelling for business on this route.
39 exam-style questions on AQA A Level Maths 2.4.1 Discrete distributions and the binomial. Each one has a worked solution and a mark scheme showing where the marks go.