Suppose 11% of voters in a rural area vote on advanced voting days. A random sample of 25 voters is selected.

Assuming independence, use the binomial formula or software (recommended) to answer the following questions.

1. What is the probability that, of the 25 voters selected: (Report probabilities accurate to at least 4 decimal places.)
2. a) exactly 2 vote on advanced voting days? b) exactly 22 do not vote on advanced voting days? c) none of them vote on advanced voting days? d) at most 4 vote on advanced voting days? e) at least 3 vote on advanced voting days? f) more than half vote on advanced voting days? g) at least 3 but no more than 7 vote on advanced voting days? h) less than 2 or more than 6 vote on advanced voting days?
3. Calculate the mean and standard deviation of voters that vote on advanced voting days. Round to 2 decimal places.

Mean = _________ Standard Deviation = ____________

3. If you expect to find exactly 17 voters that vote on advanced voting days, how large a sample should you select?

Report the minimum sample size required as an integer.____________