The average number of customers arriving at an ATM machine is 27 per hour during lunch hours. Use equation to denote the number of arrivals in a 5 minute time interval. Assume the customers arrive independently and the number of arrivals within each 5 minutes follows a Poisson distribution. Keep at least 4 decimal digits if the result has more decimal digits. The probability that exactly 2 customers arrive in a given 5 minute interval is closest to

The probability that exactly 2 customers arrive in a given 5 minute interval =  0.2667

Step-by-step explanation:

Given -

The average number of customers arriving at an ATM machine is 27 per hour during lunch hours. then the average number of customers arriving at an ATM machine n a 5 minute time interval = = 2.25

average number of customers arriving at an ATM machine n a 5 minute time interval = 2.25

Let X denote the no of customer arrivals in a 5 minute time interval

The probability that exactly 2 customers arrive in a given 5 minute interval =

P( X = 2 )  =            ( Using poision distribution )

               =  

               =

               =   0.2667

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