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About 10% of workers (ages 16 years and older) in the United States commute to their jobs by carpooling. You randomly select eight workers.

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About 10% of workers (ages 16 years and older) in the United States commute to their jobs by carpooling. You randomly select eight workers. Let x be the number of people in the sample who carpool to work. (a) Create a binomial probability distribution for this situation. x P(x) (1) 0 (b) What is the probability that... (iii) 1 2 exactly 4 of them carpool to work? 3 no more then 3 of them carpool to work? at least one of them carpools to work? 4 5 6 7 8 (c) Find the expected number of the people in the sample who carpool to work and the associated standard deviation.

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