Probability that random sample of size will have less people


According to a recent survey, 56% of Americans said they balance their checkbooks at least once a month. Assume that a sample of 400 Americans was selected.

A) What is the probability that a random sample of 400 will have at least 62% of the people who balance their checkbook at least once a month?

B) What is the probability that a random sample of 400 will have between 55% and 59% of the people who balance their checkbook at least once a month?

C) 81% of the samples of size 400 will have more than what percentage of people who balance their checkbooks at least once per month?

D) What is the probability that a random sample of size 400 will have less than 49% of the people who balance their checkbooks at least once per month?

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Basic Statistics: Probability that random sample of size will have less people
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