The number of cars that pass through a certain intersection follows a Poisson distribution with a mean of 2 cars per minute. Find the probability that: (a) no cars pass through the intersection in a given minute. (b) at least 3 cars pass through the intersection in a 2-minute interval. (c) between 3 and 8 cars pass through the intersection in a 2-minute interval. (d) no cars pass through the intersection in a 30-minute interval.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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2. The number of cars that pass through a certain intersection follows a Poisson distribution
with a mean of 2 cars per minute. Find the probability that:
(a) no cars pass through the intersection in a given minute.
(b) at least 3 cars pass through the intersection in a 2-minute interval.
(c) between 3 and 8 cars pass through the intersection in a 2-minute interval.
(d) no cars pass through the intersection in a 30-minute interval.
Transcribed Image Text:2. The number of cars that pass through a certain intersection follows a Poisson distribution with a mean of 2 cars per minute. Find the probability that: (a) no cars pass through the intersection in a given minute. (b) at least 3 cars pass through the intersection in a 2-minute interval. (c) between 3 and 8 cars pass through the intersection in a 2-minute interval. (d) no cars pass through the intersection in a 30-minute interval.
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