Problem # 2 On random packetization (perhaps a variation on a familiar theme...):A large file, whose size is c bytes, is randomly divided into two smaller packets for streamingover the network. The size in bytes of the first packet, is random variable X, with PDFfx(x) = ½ x, x = [0, c]. The second packet contains the remainder of the file, and its size inbytes is random variable Y.a) Find the expected size (in bytes) of the larger packet.b) Find the correlation, covariance and correlation coefficient of X and Y.c) Are X and Y uncorrelated, independent, orthogonal?d) Find the PDF of Z, the difference in size between the larger and the smaller packet, Z= max{X, Y} – min{X, Y}.

Answered: Problem # 2 On random packetization…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Problem 17: Let X, Y be random variables with P(X = 0, Y = 0) = , P(X = 0, Y = 1) = , P(X = 1, Y = 0) = , P(X = 1, Y = 1) = . Find the covariance of X and Y.
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