Question: Suppose 30% of all registered Republicans support Hillary Clinton for president.

1. In a poll of 10 Republicans what is the probability that exactly 5 Republicans will support Hillary Clinton for president? 0.103
2. In a poll of 10 Republicans what is the probability that at least 2 Republicans will support Hillary Clinton for president? 0.851
3. In a poll of 200 Republicans what is the probability that more than 25% will support Hillary Clinton for president? For full credit use continuity correction.

25% of 200 is 50, but using continuity correction we use 50.5. The expected value is np = 60, the standard deviation is pp(1 — p) = 0.458, the SE sum is 6.477.

z = (50.5 - 60) / 6.48 = -1.467

Using normal approximation and continuity correction, the corresponding probability is 0.933

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