The random variable X X\,X has the distribution X∼B(n,p)X \sim B(n, p)X∼B(n,p). The mean of X X\,X is 12 and the variance of X X\,X is 8.4.
Show that p=0.3p = 0.3p=0.3 and find the value of nnn.
Find P(X≤10)P(X \le 10)P(X≤10).
Find P(X=12)P(X = 12)P(X=12).
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.