Question

You need junk food and FAST! You jump off your scooter at a your favorite place, but with a history of a line. Usually you can expect to wait 375 seconds from the time you arrive until the personal finally takes your order (there is only one order taker). Service time averages 40 seconds. SHOW ALL WORK!

What is the probability of 3 or fewer people in line upon your arrival? ____%

Answer 1

wait time in the queue W_q = 375 s

no of server = 1

using queuing formula, W_q = . W ............ (1)

we know that W = W_q + = 375 + 40 = 415

from (1), 375 =

utilization =

Probability of 3 or fewer people in the line upon your arrival = 1 - 0.9036^(3+1) = 0.3333

or 33.33%