It is known that, on average, 1 in 300 flowers of a certain kind are white. A random sample of 200 flowers of this kind is selected. Use an appropriate approximating distribution to find the probability that more than 1 flower in the sample is white. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w20_qp_63 Year：2020 Question No：1(a)

Answer:

$\operatorname{Po}\left(\frac{2}{3}\right)$
$1-\mathrm{e}^{-\frac{2}{3}}\left(1+\frac{2}{3}\right)$
$=0.144(3 \mathrm{sf})$

Knowledge points:

6.1.1 use formulae to calculate probabilities for the distribution $\text { Po }(\lambda)$

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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