Response time of fire-engines are important. At a fire-station, the probability that your call to a service line is answered in less than 15 seconds is 0.80. Assume that your calls are independent. (a) If you call 8 times, what is the probability that exactly 6 of your calls are answered within 15 seconds? (b) If you call 16 times, what is the probability that at most 12 calls are answered in less than 15 seconds? (d) What is the probability that you must call four times to obtain the first answer in less than 15 seconds? (e) What is the probability that you must call eight times for three of your calls to be answered in less than 15 seconds?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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Response time of fire-engines are important. At a fire-station, the probability that your call
to a service line is answered in less than 15 seconds is 0.80. Assume that your calls are
independent.
(a) If you call 8 times, what is the probability that exactly 6 of your calls are answered
within 15 seconds?
(b) If you call 16 times, what is the probability that at most 12 calls are answered in less
than 15 seconds?
(d) What is the probability that you must call four times to obtain the first answer in less
than 15 seconds?
(e) What is the probability that you must call eight times for three of your calls to be
answered in less than 15 seconds?

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