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Nov 2011 p61 q1
3327
When a butternut squash seed is sown the probability that it will germinate is 0.86, independently of any other seeds. A market gardener sows 250 of these seeds. Use a suitable approximation to find the probability that more than 210 germinate.
Solution
Let the random variable \(X\) represent the number of seeds that germinate. \(X\) follows a binomial distribution with parameters \(n = 250\) and \(p = 0.86\).
We approximate the binomial distribution with a normal distribution since \(n\) is large and \(p\) is not too close to 0 or 1.