A-Level Maths Edexcel (9MA0)

Understand and use the Normal distribution as a model; find probabilities using the Normal distribution.

The notation $X∼N(μ,σ^2)$ may be used.

Knowledge of the shape and the symmetry of the distribution is required. Knowledge of the probability density function is not required. Derivation of the mean, variance and cumulative distribution function is not required.

Questions may involve the solution of simultaneous equations.

Students will be expected to use their calculator to find probabilities connected with the normal distribution.

Link to histograms, mean, standard deviation, points of inflection and the binomial distribution.

Students should know that the points of inflection on the normal curve are at $x = μ ± σ$.

The derivation of this result is not expected.

Students should know that when $n$ is large and $p$ is close to $0.5$, the distribution $B(n, p)$ can be approximated by $N(np, np[1 - p])$.

The application of a continuity correction is expected.