If ?= 6 CUSTOMERS/HOUR and µ=9 CUSTOMERS/HOUR, in a single server model, find the probability that there will be exactly 2 people in line.
A) 0.162
B) 0.297
C) 0.148
D) 0.135

Question

Quizplus · Accepted Answer

This problem can be solved using the Poisson distribution formula:

P(x = 2) = (e^(-λ) * λ^x) / x!

where λ is the average arrival rate and x is the number of arrivals in a given time period.

In this case, λ = µ - ? = 9 - 6 = 3 customers per hour.

Then, we can plug in λ and x = 2 into the formula:

P(x = 2) = (e^(-3) * 3^2) / 2! ≈ 0.148

Therefore, the correct answer is C.

If ?= 6 CUSTOMERS/HOUR and µ=9 CUSTOMERS/HOUR, in a Single