SOLUTION: (1) Assume that the time between arrivals of customers at a bank front desk is exponentially distributed with a mean of 0.5 minutes. (a) What is the average number of customers a

Algebra ->  Probability-and-statistics -> SOLUTION: (1) Assume that the time between arrivals of customers at a bank front desk is exponentially distributed with a mean of 0.5 minutes. (a) What is the average number of customers a      Log On


   

Question 870301: (1) Assume that the time between arrivals of customers at a bank front desk
is exponentially distributed with a mean of 0.5 minutes.
(a) What is the average number of customers arriving per minute?
(b) What is the probability that 2 minutes passes with a customer
arriving?
(c) What is the probability that 5 customers arrive within 0.5 minutes?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

mean time between arrivals) = .5min

a)  What is the average number of customers arriving per minute? 2*.5 = 1

b) (2 minutes) average= 2,  Poisson(x = 1) = .2707

c) average .5, Poisson(x = 5)= .00016