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genyjoannerubiera
08.04.2020 •
Mathematics
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
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Ответ:
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 )
=![\frac{e^{-2.25} (2.25)^2}{2!}](/tpl/images/0588/5775/a6085.png)
=![\frac{.1054 \times 5.0625}{2}](/tpl/images/0588/5775/14586.png)
= 0.2667
Ответ:
12.5
Step-by-step explanation:
15/120 × 100 = 12.5
hope this helps