5. Customers arrive at coffee shop according to a Poisson process at a mean rate of 5 customers every 10 minutes. (a) Let X denote the waiting time (in minutes, counted from 7 am) until the first customer arrives. What is the pdf of X? Name the distribution if it has a name. (b) Find the probability that the owner of the coffee shop will have to wait longer than 5 minutes before the arrival of the first customer. (c) Find the conditional probability that the owner of the coffee shop will have to wait longer than 5 minutes before the arrival of the first customer, given that no customer came in the first three minutes.

5. Customers arrive at coffee shop according to a Poisson process at a mean rate of 5 customers every 10 minutes. (a) Let X denote the waiting time (in minutes, counted from 7 am) until the first customer arrives. What is the pdf of X? Name the distribution if it has a name. (b) Find the probability that the owner of the coffee shop will have to wait longer than 5 minutes before the arrival of the first customer. (c) Find the conditional probability that the owner of the coffee shop will have to wait longer than 5 minutes before the arrival of the first customer, given that no customer came in the first three minutes.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

See similar textbooks