Given that X∼N(10,2.25)X \sim N(10, 2.25)X∼N(10,2.25) find the following probabilities:
P(X>11.8)P(X > 11.8)P(X>11.8)
P(X<7.45)P(X < 7.45)P(X<7.45)
P(9.1<X<11.2)P(9.1 < X < 11.2)P(9.1<X<11.2)
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.