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. .

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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