The latency, LLL ms, of a signal from a remote sensor is modelled by a normal distribution with mean μ\muμ and variance 363636. Given that P(μ−2d<L<μ+2d)=0.90P(\mu - 2d < L < \mu + 2d) = 0.90P(μ−2d<L<μ+2d)=0.90:
find the value of ddd.
The mass, MMM grams, of a biological sample recovered from the deep sea is normally distributed with mean μ\muμ and standard deviation σ\sigmaσ. Given that 32μ=15σ232\mu = 15\sigma^232μ=15σ2 and P(M<0.6μ)=0.0668P(M < 0.6\mu) = 0.0668P(M<0.6μ)=0.0668: find the value of μ\muμ and the value of σ\sigmaσ.
390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.