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Suppose you pick 50 clovers from the grass in Washington square park. Some clovers are four-leaf...

Suppose you pick 50 clovers from the grass in Washington square park. Some clovers are four-leaf clovers but most have only three leaves. Suppose clovers develop their leaves inde- pendently of each other and there is some probability p that they will develop into a four-leaf clover.

Calculate the probability that you get two or fewer four-leaf clovers, for each of p = 0.1, 0.05, 0.01. For each value of p, do the calculation in three ways: the exact calculation, the Poisson ap- proximation, and the Normal approximation (with the histogram correction.) Comment on your results – which approximation is better when?

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milcah answered 4 months ago
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