Learning objectives
Use N(μ, σ²) to model a continuous random variable and sketch the normal curve with the required region shaded
Standardise with Z = (X − μ)/σ and use tables of Φ(z) to find probabilities such as P(X > a) and P(a < X < b)
Use the inverse normal tables to find the value of X for a given probability, or to form and solve equations for an unknown μ, σ or both
Approximate B(n, p) by N(np, np(1 − p)) when np > 5 and n(1 − p) > 5, applying a continuity correction
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