A community for students.
Here's the question you clicked on:
← 55 members online
 0 viewing
 2 years ago
On weekdays from 1130 to 200 pm customers arrive at a hotdog street vendor at the rate of 25 per 30 minute interval. Assume that this process can be well modeled by the Poisson distribution. What is the probability that the vendor will have to wait at least 3 mintues for a customer?
 2 years ago
On weekdays from 1130 to 200 pm customers arrive at a hotdog street vendor at the rate of 25 per 30 minute interval. Assume that this process can be well modeled by the Poisson distribution. What is the probability that the vendor will have to wait at least 3 mintues for a customer?

This Question is Closed

kropot72
 2 years ago
Best ResponseYou've already chosen the best response.0Average number of customers arriving in 3 minutes is: \[\frac{25}{30}\times 3=2.5\] \[P(X=x)=\frac{e ^{\lambda}\lambda ^{x}}{x!}\] \[P(X=0)=\frac{e ^{2.5}2.5^{0}}{0!}=e ^{2.5}\]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.