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.
228 exam-style questions on CCEA A Level Maths 4.5.1 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.