The random variable XXX follows a normal distribution such that X∼N(μ,42)X \sim N(\mu, 4^2)X∼N(μ,42) and P(X<32.22)=0.9678P(X < 32.22) = 0.9678P(X<32.22)=0.9678.
Find the value of μ\muμ.
Write down the value of P(μ<X<32.22)P(\mu < X < 32.22)P(μ<X<32.22).
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.