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On the average, 7 cars arrive at the drive-up window of a bank every hour. What’s the probability that exactly 5 cars will arrive in the next hour?

 May 30, 2015

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 #2
avatar+33658 
+15

If we assume that the number of cars arriving follows a Poisson distribution then the probability of exactly 5 cars appearing in the next hour is:

 

p = λ5e/5!  where λ is the mean arrival rate (= 7 here)

 

p=75×e(7)5!p=0.1277166682922896

 

(For exactly k cars arriving the probability is λke/k!)

.

 May 31, 2015
 #1
avatar+118703 
0

I don't think that you have given enough information :/

 May 31, 2015
 #2
avatar+33658 
+15
Best Answer

If we assume that the number of cars arriving follows a Poisson distribution then the probability of exactly 5 cars appearing in the next hour is:

 

p = λ5e/5!  where λ is the mean arrival rate (= 7 here)

 

p=75×e(7)5!p=0.1277166682922896

 

(For exactly k cars arriving the probability is λke/k!)

.

Alan May 31, 2015

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