Mathematics 9709 · AS & A Level · The normal distribution

The normal distribution — practice question

The masses of bags of sugar are normally distributed with mean $1.04\text{ kg}$ and standard deviation $\sigma\text{ kg}$. In a random sample of $2000$ bags of sugar, $72$ had a mass greater than $1.10\text{ kg}$.
(main)[4]

Find the required value of $\sigma$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct normal-table probability, for example $P(X>1.1)=\frac{72}{2000}=0.036$, or the equivalent $z$-values are shown.

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