IB skill practice

Use normal approximations to binomial models

Apply mean, standard deviation, and continuity correction for binomial approximations.

Paper 1, Paper 2 5 marks Difficulty 5

Use normal approximations to binomial models - calculation checkpoint

For a school canteen binomial variable with \(n=90\) and \(p=0.35\), use a normal approximation with continuity correction to standardise \(P(X\le 36)\). Find the corrected \(z\)-value. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.