Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

$X$ has distribution $\text{Po}(2.90)$. A random sample of 100 observations of $X$ is selected.
(main)[5]

Find the probability that the sample mean is below $2.88$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Suitable normal model $\bar{X} \sim N(2.9, \frac{2.9}{100})$ or totals method $N(290,290)$

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