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Probability
Suppose that the number of spam emails that arrive to your Google account follows a Poisson process with a rate of AG = 2 per hour, the numb of spam emails that arrive to your AOL account follows a Poisson process with a rate of =1 per hour, and the two Poisson processes are independent

Suppose that the number of spam emails that arrive to your Google account follows a Poisson process with a rate of AG = 2 per hour, the numb of spam emails that arrive to your AOL account follows a Poisson process with a rate of =1 per hour, and the two Poisson processes are independent

A First Course in Probability (10th Edition)
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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Suppose that the number of spam emails that arrive to your Google account follows a Poisson process with a rate of AG = 2 per hour, the number of spam emails that arrive to your AOL account follows a Poisson process with a rate of = 1 per hour, and the two Poisson processes are independent. Let V be the waiting time to have the k th spam email in your Google account, and let W be the waiting time to have the k th spam email in your AOL account. What is the probability that the waiting time to have the 2nd spam email in your Google account is longer than the waiting time v Choose... to have the 1st spam email in your AOL account, i.e., P(V2 > W1) ? 3 4 5/9 What is the expected number of spam emails that arrive to your Google account from 9:00am to 1:00pm? 2/3 What is the expected waiting time to have the 5th spam email in your Google account from 9:00am, given that the first spam email has arrived at 10:00am? 8 1/3 4/9 Previous page Next page
Transcribed Image Text:Suppose that the number of spam emails that arrive to your Google account follows a Poisson process with a rate of AG = 2 per hour, the number of spam emails that arrive to your AOL account follows a Poisson process with a rate of = 1 per hour, and the two Poisson processes are independent. Let V be the waiting time to have the k th spam email in your Google account, and let W be the waiting time to have the k th spam email in your AOL account. What is the probability that the waiting time to have the 2nd spam email in your Google account is longer than the waiting time v Choose... to have the 1st spam email in your AOL account, i.e., P(V2 > W1) ? 3 4 5/9 What is the expected number of spam emails that arrive to your Google account from 9:00am to 1:00pm? 2/3 What is the expected waiting time to have the 5th spam email in your Google account from 9:00am, given that the first spam email has arrived at 10:00am? 8 1/3 4/9 Previous page Next page
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