Question

In a service facility with two lines, what do the random variables x and y represent?

a) The proportions of time that customers spend in line 1 and line 2, respectively.
b) The number of customers served by line 1 and line 2, respectively.
c) The average waiting time in line 1 and line 2, respectively.
d) The efficiency of service in line 1 and line 2, respectively.

Answer 1

Random variable x and y represent the average waiting time in line 1 and line 2, respectively, thus the correct option is c.

Explanation:

In a service facility, two lines are established in order to manage the customers. The random variables x and y are used to represent different elements of the service facility. By studying the given options, it can be concluded that random variable x and y represent the average waiting time in line 1 and line 2, respectively. This is because it is the only option that mentions the time customers spend in the two lines.

The average waiting time in line 1 and line 2 can be calculated by taking the total time spent by all customers in the lines and dividing it by the total number of customers served in the two lines. This helps to determine the average waiting time so as to find out the effectiveness of the service. By doing so, an accurate and precise measure can be taken to find out the efficiency of service in the two lines.

Therefore, it can be concluded that the random variables x and y represent the average waiting time in line 1 and line 2, respectively. This helps to identify the effectiveness of service in the two lines and determine the areas of improvement, if any.