value: 5.00 points PA 16-18 Experience the Tour de France (ETF) is a… Experience the Tour de France (ETF) is a specialty travel agent. They arrange vacations for amateur cyclists who want to experience the Tour de France by riding through one or more stages in the race They have 3 people who take calls from clients. Each call lasts on average 20 minutes with a standard deviation of 60 minutes. A call arrives on average every 15 minutes with a standard deviation of 15 minutes. (Round your answer to 2 decimal places.) On average, how many minutes does a caller wait before talking to an agent? minutes

lambda = 4 /hr.

mu = 60/20 = 3 per hr.

utilization (rho) = lambda /mu x no. of servers = 4/3×3 = 4/9

time spent in queue = lambda /m x [( rho)n / 1-rho]

Where n = ( 2m+2)0.5 -1 where m = no. of servers

n = (2×3 +2)0.5 -1 = (8)0.5 -1 = 1.82

T= Time spent in queue = 4/3 x [ (4/9)1.82 / 1-4/9] = 4/3 [ 0.228/ 0.555] = 0.54 hour

Ca = S.D. /Avg = 60/20 = 3

Cs = 15/15 = 1

Effective time = T x ( Ca2 + Cs2) /2 = T x ( 9+1)/2 = 5T = 5×0.54 hr = 2.7 hr. = 162 min.