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1. Suppose Gallup takes a poll of 1000 voters from a population which is 56 percent Democratic. Letting P be the sample proportion, find

(a) Pr (.52 < p="">< .60).="">

(b) Pr (P > .5), i.e., the probability that the sample will correctly predict the election. Note how we are beginning to answer the problems raised in Chapter 1.

2. In tossing a fair coin 50 times, what is the probability that the proportion of heads will exceed .55?

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