The random variable X X\,X has the distribution X∼B(15,0.35)X \sim B(15, 0.35)X∼B(15,0.35).
Find P(X=5)P(X = 5)P(X=5).
Find P(X<4)P(X < 4)P(X<4).
Find P(X≤10)P(X \le 10)P(X≤10).
390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.