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

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.