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Al Gore, the former Vice President of the United States, believes that the proportion of voters...

Al Gore, the former Vice President of the United States, believes that the proportion of voters who will vote for John Kerry in the year 2004 presidential elections is 0.65. A sample of 500 voters is selected at random.

A. State the random variable for the sampling distribution in this scenario.

B. What is the shape, mean and standard deviation of the sampling distribution?

C. What is the probability that the proportion of voters in the sample who will vote for John Kerry in the year 2004 will be between 0.68 and 0.70?

D. What is the probability that the proportion of voters in the sample who will vote for John Kerry in the year 2004 will be more than 0.72?

E. What is the maximum cutoff for the number of voters in the sample who voted for John Kerry to be in the bottom 25%?

F. Find the variance of the sample distribution of the proportion p.

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