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4) A recent survey indicated that 42% of all U.S. citizens who plan to vote in the upcoming presidential election support Candidate A. Suppose you

4) A recent survey indicated that 42% of all U.S. citizens who plan to vote in the upcoming presidential election support Candidate A. Suppose you randomly sample 15 U.S. citizens who plan to vote.

a. What is the mean and standard deviation of this sample?

b. What is the probability that exactly 5 of them support Candidate A? Hint: Planning to vote for Candidate A is considered a "success".

c. What is the probability that at least half of them support Candidate A? Hint: Planning to vote for Candidate A is considered a "success".

d. If there are only 2 candidates, what is the probability that less than 5 of them support Candidate B? Hint: Planning to vote for Candidate B is considered a "success".

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