The random variable $$$X$$$ has the distribution $$$\mathrm{B}(400,0.01)$$$. State an appropriate approximating distribution for $$$X$$$, giving the values of any parameters. Justify your choice of approximating distribution. ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................ ................................................................................................................................................

Mathematics

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Exam No：9709_s21_qp_62 Year：2021 Question No：2(b)(i)

Answer:

$\operatorname{Po}(4)$
$n=400>50$ and either $n p=4<5$ or $p=0.01<0.1$

Knowledge points:

6.1.4 use the Poisson distribution as an approximation to the binomial distribution where appropriate (The conditions that n is large and p is small should be known; n > 50 and np < 5, approximately.)

Answer:

Knowledge points:

Solution:

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