Statistics

Have you ever tried to get out of jury duty? About 25% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty.†

(a)

If 11 people are called for jury duty, what is the probability that all 11 will be available to serve on the jury? (Round your answer to three decimal places.)

(b)

If 11 people are called for jury duty, what is the probability that 5 or more will not be available to serve on the jury? (Round your answer to three decimal places.)

(c)

Find the expected number of those available to serve on the jury. What is the standard deviation? (Round your standard deviation to two decimal places.)

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(d)

What is the smallest number of people n that the jury commissioner must contact to be at least 95.9% sure of finding at least 12 people who are available to serve? (Enter your answer as a whole number.)

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