Question

5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank during the noon hour has a uniform distribution between 0 to 120 seconds. What is the probability that between the arrivals of two customers will be more than 60 seconds?

Answer 1

0.5 or 50%

Explanation:

For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

`(x-0)/(120-0)=(x)/(120)`

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

`P(X>60) = 1 -(60)/(120)\\P(X>60) = 0.5`

The probability is 0.5 or 50%.