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?