Customers arrive at a shop according to a Poisson process with rate 3 per hour, and it is known that the shop opens at 9:00 am. (a) What is the probability that no customer arrives in the first hour after opening (b) if no customer arrives in the fint hour after opening, what is the probability that stil no customer arrives in the following hour? (c) What is the probability that two customers arrive before 9:20 am and ten customers amive before 11:20 am? (d) Given that ten customers arrive before 11:20, what is the probability that two customers have arrived before 9:20 am?

Customers arrive at a shop according to a Poisson process with rate 3 per hour, and it is known that the shop opens at 9:00 am. (a) What is the probability that no customer arrives in the first hour after opening (b) if no customer arrives in the fint hour after opening, what is the probability that stil no customer arrives in the following hour? (c) What is the probability that two customers arrive before 9:20 am and ten customers amive before 11:20 am? (d) Given that ten customers arrive before 11:20, what is the probability that two customers have arrived before 9:20 am?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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