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.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.