Problem 1 A tablet computer transmits a file over a wi-fi link to an access point. Depending on the size of the file, it is transmitted as N packets where N has the PMF PN (n) = Sc/n n= 1,2,3, otherwise. (a) Find the constant c. (b) Sketch the PMF of the variable N (c) Find and sketch the CDF of the variable N (d) Each packet is received correctly with probability p, and the file is received correctly if all N packets are received correctly. Find P[C], the probability that the file is received correctly.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1
A tablet computer transmits a file over a wi-fi link to an access point. Depending on the size of
the file, it is transmitted as N packets where N has the PMF
PN (n) =
Sc/n n= 1,2,3,
otherwise.
(a) Find the constant c.
(b) Sketch the PMF of the variable N
(c) Find and sketch the CDF of the variable N
(d) Each packet is received correctly with probability p, and the file is received correctly if
all N packets are received correctly. Find P[C], the probability that the file is received
correctly.
Transcribed Image Text:Problem 1 A tablet computer transmits a file over a wi-fi link to an access point. Depending on the size of the file, it is transmitted as N packets where N has the PMF PN (n) = Sc/n n= 1,2,3, otherwise. (a) Find the constant c. (b) Sketch the PMF of the variable N (c) Find and sketch the CDF of the variable N (d) Each packet is received correctly with probability p, and the file is received correctly if all N packets are received correctly. Find P[C], the probability that the file is received correctly.
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