Cars arrive at a "Y" in a road and must choose either the left fork or the right fork. Assume that the number of cars that arrive at the fork has a Poisson distribution, the average number of cars that arrive at the "Y" per minute is 19, and a car arriving at the fork chooses the left fork with probability 8/19 and the right fork with probability 11/19. What is the exact formula for the Poisson distribution that gives the number of cars that travel down the right fork per minute? Your answer should be a function of k and should have an exponent of "e". Warning: to type a factorial like k! in this problem, you need to type "fact(k)." P(X = k) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with Poisson distribution.

Cars arrive at a "Y" in a road and must choose either the left fork or the right fork. Assume that the number of cars
that arrive at the fork has a Poisson distribution, the average number of cars that arrive at the "Y" per minute is 19,
and a car arriving at the fork chooses the left fork with probability 8/19 and the right fork with probability 11/19.
What is the exact formula for the Poisson distribution that gives the number of cars that travel down the right fork
per minute? Your answer should be a function of k and should have an exponent of "e".
Warning: to type a factorial like k! in this problem, you need to type "fact(k)."
P(X = k) =
Transcribed Image Text:Cars arrive at a "Y" in a road and must choose either the left fork or the right fork. Assume that the number of cars that arrive at the fork has a Poisson distribution, the average number of cars that arrive at the "Y" per minute is 19, and a car arriving at the fork chooses the left fork with probability 8/19 and the right fork with probability 11/19. What is the exact formula for the Poisson distribution that gives the number of cars that travel down the right fork per minute? Your answer should be a function of k and should have an exponent of "e". Warning: to type a factorial like k! in this problem, you need to type "fact(k)." P(X = k) =
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