1 1 0.48 0.02 Y 0.05 0.03 3 0.2 0.1 4 0.04 0.08 (a) Calculate P(X = 1|Y = 3). (b) Find the mode of the joint probability distribution. (c) Calculate the variance V(Y|X = 5). (d) Calculate the variance V(3Y - X).

MATLAB: An Introduction with Applications
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4. The joint probability distribution of random variables, X and Y, is shown in the
following table:
X
1
0.48
0.02
Y
0.05
0.03
3
0.2
0.1
4
0.04
0.08
(a) Calculate P(X = 1|Y = 3).
%3D
(b) Find the mode of the joint probability distribution.
(c) Calculate the variance V(Y|X = 5).
(d) Calculate the variance V(3Y- X).
Transcribed Image Text:4. The joint probability distribution of random variables, X and Y, is shown in the following table: X 1 0.48 0.02 Y 0.05 0.03 3 0.2 0.1 4 0.04 0.08 (a) Calculate P(X = 1|Y = 3). %3D (b) Find the mode of the joint probability distribution. (c) Calculate the variance V(Y|X = 5). (d) Calculate the variance V(3Y- X).
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