The random variable X X\,X has the distribution X∼N(μ,σ2)X \sim N(\mu, \sigma^{2})X∼N(μ,σ2).
Identify the values of x x\,x at which the graph of the probability density function of X X\,X has its points of inflection.
Tick one box.
x=μx = \mux=μ only
x=μ±σx = \mu \pm \sigmax=μ±σ
x=μ±2σx = \mu \pm 2\sigmax=μ±2σ
x=0x = 0x=0 and x=μx = \mux=μ
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.