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A political pollster is conducting an analysis of sample results in order to make predictions on...

A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the cote in the sample, that candidate will be forecast as the winner of the election. If you select a random sample of 100 voters,
a. what is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%? (in decimal format, round to 4 decimal digits, i.e. 5%=.0500)

b. what is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 60%? (in decimal format, round to 4 decimal digits, i.e. 5%=.0500)

c. what is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 49%? (in decimal format, round to 4 decimal digits, i.e. 5%=.0500)

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