The random variable X X\,X is Normally distributed with mean μ \mu\,μ and standard deviation σ\sigmaσ.
It is given that P(X<52)=0.2P(X < 52) = 0.2P(X<52)=0.2 and P(X>60)=0.3P(X > 60) = 0.3P(X>60)=0.3.
Find the value of μ \mu\,μ and the value of σ\sigmaσ. Give your answers to 3 significant figures.
284 exam-style questions on CCEA A Level Maths 4.5 Statistical distributions (A-level only), covering 4.5.1 Statistical distributions (A-level only) and 4.5.2 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.