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 12 people are called for jury duty, what is the probability that all 12 will be available to serve on the jury? (Round your answer to three decimal places.) (b) If 12 people are called for jury duty, what is the probability that 6 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 answers to two decimal places.) ? =  people ? =  people  What is the smallest number of people n that the jury commissioner 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.)  people

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 12 people are called for jury duty, what is the probability that all 12 will be available to serve on the jury? (Round your answer to three decimal places.)


(b) If 12 people are called for jury duty, what is the probability that 6 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 answers to two decimal places.)
? =  people
? =  people

 What is the smallest number of people n that the jury commissioner 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.)
 people
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