Asuburban specialty restaurant has developed a single drive-thru window. customers order, pay, and pick up their food at the same window. arrivals follow a poisson distribution while service times follow an exponential distribution. if the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes, what proportion of the time is the server busy (utilized)?

a. 0.25b. 0.50c. 0.75d. 2.25e. 3.00

Option c is right

Step-by-step explanation:

Given that a  suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution while service times follow an exponential distribution.

service rate per customer =

Average number of arrivals per hour = 6

Service time for 6 customers = minutes

i.e. on an average per hour the server is buy in 45 minutes

Proportion =

Option c is right

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: