A car park has 40 spaces. On a particular morning, the number of spaces occupied by diesel cars is modelled by the random variable XXX, where X∼B(40,0.3)X \sim B(40, 0.3)X∼B(40,0.3).
State two assumptions that are needed for this binomial model to be appropriate.
Find the mean of XXX.
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.