Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The distribution $N(1250, 480^2)$ is used to model the number of characters in emails sent by a particular company.
(main)[3]

Determine the probability that the mean number of characters in a random sample of 100 emails sent by the company is greater than $1300$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply standardisation using $z=\frac{1300\pm\frac{1}{200}-1250}{\frac{480}{10}}$ or $z=\frac{1300-1250}{\frac{480}{10}}$

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