SOLUTION: Emails arrive at the Dean's office at a rate of 4 per minute. What is the probability that the Dean will receive 2 or more emails over the next minute? (Hint: you need to fig

Algebra ->  Permutations -> SOLUTION: Emails arrive at the Dean's office at a rate of 4 per minute. What is the probability that the Dean will receive 2 or more emails over the next minute? (Hint: you need to fig      Log On


   

Question 359071: Emails arrive at the Dean's office at a rate of 4 per minute.
What is the probability that the Dean will receive 2 or more emails over the next minute? (Hint: you need to figure out P (x=0) and P(x=1) to get started.)
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
let mu = average rate per minute
let X=number of emails received
You need to realize that the situation you are describing follows a Poisson distribution
P(x=a)=mu%5Ea%2Ae%5E%28-mu%29%2Fa%21
==
given
mu=4
P%28x%3E=2%29=1-P%28x%3C=1%29=1-P%28x=0%29-P%28x=1%29
--
P(x=0)=4%5E0%2Ae%5E%28-4%29%2F0%21=e%5E%28-4%29=0.01832
P(x=1)=4%5E1%2Ae%5E%28-4%29%2F1%21=4%2Ae%5E%28-4%29=0.07326
--
can you finish this?