The normal distribution

The Normal DistributionSign up

understand the properties of the normal distribution N(μ, σ^2), including symmetry about μ and the inflection points at μ ± σ · be able to use standardisation Z = (X - μ) / σ and tables (or a calculator) of the standard normal distribution to find probabilities and inverse values · be able to solve problems where μ and/or σ are unknown by setting up and solving simultaneous equations from given probabilities

Normal Approximation to the Binomial DistributionSign up

conditions for approximating B(n,p) by a normal distribution: n large enough that np>5 and nq>5 (q=1-p) · approximate B(n,p) by N(np, npq) and use the standard normal distribution · apply a continuity correction with full standardisation working