Question

Customers arrive at a Service Ontario centre with inter-arrival times averaging 5 minutes. The variance of the inter-arrival times is equal to 9 minutes squared. What is the coefficient of variation for the inter-arrival times? (pick the choice that is closest to your answer). Note: Variance is equal to the square of standard deviation.

O 0.6
O 1.2
O 0.8
O 0.4
O 0.2

Answer 1

The coefficient of variation for the inter-arrival times at a Service Ontario centre, with a mean of 5 minutes and a variance of 9 minutes squared, is 0.6.

Step-by-step explanation:

Customers arrive at a Service Ontario centre with inter-arrival times averaging 5 minutes. The variance of these inter-arrival times is given as 9 minutes squared. The coefficient of variation (CV) is a measure of relative variability and is calculated as the standard deviation divided by the mean. In this case, the standard deviation (σ) is the square root of the variance, so σ = √9 = 3 minutes. Therefore, the coefficient of variation is σ/mean = 3/5 = 0.6.