Given that X∼N(15,4)X \sim N(15, 4)X∼N(15,4) find the following probabilities
P(X>18.2)P(X > 18.2)P(X>18.2)
P(X<13.5)P(X < 13.5)P(X<13.5)
P(14<X<17)P(14 < X < 17)P(14<X<17)
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.