Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

In one country, adults’ heights follow a normal distribution with mean 1.64 m and standard deviation 0.25 m.
(a)[3]

Find the probability that a randomly selected adult from this country has a height greater than 1.93 m.

(b)[5]

Find the mean and standard deviation for this distribution.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate standardisation $P\left(Z>\frac{1.93-1.64}{0.25}\right)$

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