Students arrive at the Daz Bog counter to buy frou-frou coffee drinks (with whipped cream) on average every 12 minutes. It takes an average time of 6.5 minutes to serve each customer, with service times following an Exponential distribution. What is the average number of students waiting in line to be served?

the average number of students waiting in line to be served = 0.640 = 16/25 arrivals/min

Step-by-step explanation:

Explanation:-

Students arrive at the Daz Bog counter to buy frou-frou coffee drinks (with whipped cream) on average every 12 minutes so its means the arrival rate

λ = 1/12minutes

Given an average time of 6.5 minutes to serve each customer, with service times following an Exponential distribution

so given the service rate μ= 1/6.5 per min

The formula of the average number of students waiting in line to be served

that is Average length of the queue

on simplification , we get

arrivals/min

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

1) is right

step-by-step explanation: