5. The customer flow at a grocery store can be viewed as a Poisson process, i.e. (2₁) * -21 P(The # of customer arrivals in (0,t) = k) = = e Suppose the k! probability that in two minutes at least one customer arrives equals to 0.3. (1) Find 2. (2) Find the probability that in 3 minutes no customer comes. (3) Find the probability that in 10 minutes at least two customers will arrive. (4) Find the probability that in one minute exactly one customer will arrive. .

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
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5. The customer flow at a grocery store can be viewed as a Poisson process, i.e.
(at) k
P(The # of customer arrivals in (0,t) = k)=e
-λt
Suppose the
k!
probability that in two minutes at least one customer arrives equals to 0.3.
(1) Find 2.
(2) Find the probability that in 3 minutes no customer comes.
(3) Find the probability that in 10 minutes at least two customers will arrive.
(4) Find the probability that in one minute exactly one customer will arrive.
Transcribed Image Text:5. The customer flow at a grocery store can be viewed as a Poisson process, i.e. (at) k P(The # of customer arrivals in (0,t) = k)=e -λt Suppose the k! probability that in two minutes at least one customer arrives equals to 0.3. (1) Find 2. (2) Find the probability that in 3 minutes no customer comes. (3) Find the probability that in 10 minutes at least two customers will arrive. (4) Find the probability that in one minute exactly one customer will arrive.
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