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

the thermometer is precise but not accurate

step-by-step explanation:

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.