With a lambda of 25, what is the probability that precisely 16 customers arrive in a given hour?

	A.	1.55%
	B.	0.99%
	C.	3.77%
	D.	2.27%

A B C D E F 1 Service Rate (u) 100 Customers per Hour 2. 3 3 Utilization (p) Average Wait (of Server) (wa) 4 Arrival Rate (2) (Customers/Hour) 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 18 19 20 21 22 18 19 23 24 25 26 20 21 22 27 23 24 25 26 27 28 28 29 30 31 32 33 B D E F G H J K L M N O 1 2 20 1 = arrival rate k 3 3600 4 customers/hour Divide an hour into k tiny intervals, each so small that there would not be two arrivals in one interval. The probability of an arrival happening in an individual interval is equal for every interval and depends on Total arrivals over the k intervals will have mean , and variance of The simulation model will help us to see how sometimes arrivals are far between while at other times they are close together (and lines form!) 5 6 7 8 9 k Arrival? 10 11 12 13 3605 3606 3607 3608 3609 3610 P(x) = e */* / x! = 10 per period 2. a) What is the probability of having exactly 7 customers arriving in an hour? P(x) - Formula P(x) - Excel Formula P(x) - Cumulative 2. b) What is the probability that less than 10 customers will arrive in a given hour? 0 1 2 2. c) What is the probability that 12 or more customers will arrive in a given hour? 3 4 5 2. d) What is the probability that more than 11 customers will arrive in a given hour? 6 7 8 2. e) What is the probability of 8 or more but less than 15 arrivals? 9 10