Answered: The data for the joint probability mass…

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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Question

The data for the joint probability mass function of X and Y (two different measurement systems) are
given in the table below.
a) Calculate the marginal distributions of X and Y and plot them.
b) Select one of the Y values from the table and find the conditional probability mass function of X for that
Y value you have selected and plot it.
c) Show whether X and Y are independent or not.
d) Calculate the covariance of (X,Y) i.e. Cov(X,Y)

Y
f(x,y)
10
20
30
40
5
0.05
0.05
0.10
10
0.10
0.05
X
15
0.10
0.15
0.15
0.05
20
0.05
0.10
0.05

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