### What is the standard deviation of probability distribution

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Suppose that 20% of all subscribers to a nationally circulated business magazine earn an income in excess of \$40,000. The magazine polls 15 subscribers at random to determine the income category into which each falls. (report your answer to 3 decimal places, using conventional rounding rules)

a. What is the probability that none of the 15 subscribers earn more than \$40,000?

b. What is the probability that at least 3 but no more than 5 of the 15 subscribers earn more than \$40,000?

c. What is the mean of this probability distribution?

d. What is the standard deviation of this probability distribution?

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