Question

It is known that cars arrive at a drive-through at a rate of three cars per minute between 12 noon and 1:00 pm. Assuming the number of cars that arrive in any time interval follows a Poisson distribution, what is the probability that exactly 9 cars arrive between 12:10 and 12:20. (Note: the question gives the rate is for per minutes and asks an interval of 10 minutes.) 

          It is known that cars arrive at a drive-through at a rate of three cars per minute between 12 noon and 1:00 pm. Assuming the number of cars that arrive in any time interval follows a Poisson distribution, what is the probability that exactly 9 cars arrive between 12:10 and 12:20.

(Note: the question gives the rate is for per minutes and asks an interval of 10 minutes.)
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It is known that cars arrive at a drive-through at a rate of three cars per minute between 12 noon and 1:00 pm. Assuming the number of cars that arrive in any time interval follows a Poisson distribution, what is the probability that exactly 9 cars arrive between 12:10 and 12:20. (Note: the question gives the rate is for per minutes and asks an interval of 10 minutes.)

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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It is known that cars arrive at a drive-through at a rate of three cars per minute between 12 noon and 1:00 pm. Assuming the number of cars that arrive in any time interval follows a Poisson distribution, what is the probability that exactly 9 cars arrive between 12:10 and 12:20. (Note: the question gives the rate is for per minutes and asks an interval of 10 minutes.)
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Transcript

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00:01 Hi, in this question we are given with that car arrive at a drive -through at a rate three cars per minute between 12 noon to 1 p .m.
00:16 And assuming the number of cars that arrive in any time interval follows a poison distribution.
00:22 As we know, poison distribution, in poison distribution the probability that x represent the number of success of a random variable and it can be given as x is equal to x which is the number of success and this will be e raised to par minus mean times mean raised to par x by x factorial and here we need to find the probability that exactly nine cars arrive between 12 10 to 12 20 as there is an interval of 10 minutes and in one minute there are three cards so the main of three cars per minute in this interval will be three times 10 and this will be equals to 30...
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