Q.5 We know that variability in arrivals/service rates generally increases the probability of longer lines. Shop A has an average arrival rate of 64/hr (std dev. is 16) and an average service rate of 75hr (std dev. is 8). Shop B has an average arrival rate of 28/hr (std deviation is 7) and an average service rate of 35/hr (std dev.is 5). Based on variability considerations alone, which system has a greater probability of a line developing? Assume the shops are identical in all other relevant respects. Hint: Compare Coeff of Variation (= Std. Deviation/Mean) of arrival rates as well as of service rates between the two shops

. a. Shop B

b. Shop A

c. The probability of a line developing is the same for both shops