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. Justify the approximating distribution used in part (a). ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_w20_qp_63 Year:2020 Question No:1(b)
Answer:
\(n>50\) and \(n p=\frac{2}{3}<5\) or \(n>50\) and \(p=\frac{1}{300}<0.1\)
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.)
Solution:
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