Question

The coefficient of variation for inter-arrival times of customers arriving at a sandwich shop is equal to 4 . If the standard deviation of the inter-arrival times is 1 minute(s). What is the average inter-arrival time in minutes?

Answer 1

The average inter-arrival time in minutes is 25.

Step-by-step explanation:

The coefficient of variation (CV) is a measure of relative variability. It is calculated by dividing the standard deviation by the mean and expressing it as a percentage. In this case, the CV is given as 4, and the standard deviation is given as 1 minute.

To find the average inter-arrival time, we can use the formula:

CV = (Standard Deviation / Mean) * 100

Solving for the mean:

Mean = (Standard Deviation / CV) * 100

Substituting the given values:

Mean = (1 / 4) * 100 = 25 minutes

Therefore, the average inter-arrival time in minutes is 25.