Given that X∼N(30,16)X \sim N(30, 16)X∼N(30,16) find the following probabilities:
P(X>34)P(X > 34)P(X>34)
P(X<26.8)P(X < 26.8)P(X<26.8)
P(25<X<31)P(25 < X < 31)P(25<X<31)
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.