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Q: The number of arrivals at a car wash is Poisson distributed with a mean of...

Q: The number of arrivals at a car wash is Poisson distributed with a mean of three cars per hour. What is the probability that there are six or seven cars will arrive from 1:00pm to 4:00pm in one particular day?

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Answer #1

X : number of arrivals at a car wash

X ~ poisson (3t), where, t = number of hours.

here, in this problem, t = (4.00-1.00) = 3 hours.

hence, X ~ poisson (3*3) = poisson (9)

the pmf of the distribution be:-

the probability that there are six or seven cars will arrive from 1:00pm to 4:00pm in one particular day is :-

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible...

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