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 d = 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(V½ >W1) ? 4 5/9 What is the expected number of spam emails that arrive to your Google account from 9:00am to 1:00pm? 6 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
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 d = 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(V½ >W1) ? 4 5/9 What is the expected number of spam emails that arrive to your Google account from 9:00am to 1:00pm? 6 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer the 3 questions
![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 AA = 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
2
email has arrived at 10:00am?
8.
1/3
4/9
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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 AA = 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
2
email has arrived at 10:00am?
8.
1/3
4/9
Previous page
Next page
CO
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