A machine produces components. The probability that any component is faulty is 0.12, independently of every other component. A random sample of 50 components is taken, and X X\,X is the number of faulty components in the sample.
Find the mean and the variance of XXX.
Find P(X=6)P(X = 6)P(X=6).
Find P(5≤X≤9)P(5 \le X \le 9)P(5≤X≤9).
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.