You are working at a bank and doing resource planning. you think that there should be six tellers working in the bank. tellers take 15 minutes per customer with a standard deviation of 5 minutes. on average one customer arrives every three minutes according to an exponential distribution. a. on average how many customers are waiting in line? b. on average how long would a customer spend in the bank?

Lq = 1.680

time taken by customer 20.03 min

Step-by-step explanation:

Given data:

m = 6

a = 3 min

p = 15 minutes

CVa = 1

Number of customer waiting in line =

Lq = 1.679158

Lq = 1.680

FROM QUENNING FORMULA WE GET Tq =  5.039

so, time taken by customer = 5.039 + 15 = 20.03 min

no, it is not proportional

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.