The local council claims that the average number of accidents per year on a particular road is $$$0.8$$$. Jane claims that the true average is greater than $$$0.8$$$. She looks at the records for a random sample of 3 recent years and finds that the total number of accidents during those 3 years was 5. Assume that the number of accidents per year follows a Poisson distribution. Test at the $$$5 \%$$$ significance level whether Jane's claim is justified. ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s21_qp_63 Year：2021 Question No：3(a)(ii)

Answer:

$1-\mathrm{e}^{-2.4}\left(1+2.4+\frac{2.4^{2}}{2}+\frac{2.4^{3}}{3 !}+\frac{2.4^{4}}{4 !}\right)$
$0.0959(3 \mathrm{sf})$
$0.0959>0.05$
There is evidence that Jane's claim not justified or There is insufficient evidence to support Jane's claim

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