he data for the joint probability mass function of X and Y (two different mechanical propeties of a material) are given in the table below. a) Calculate the marginal distributions of X and Y and plot them. b) Find the means (expected values) of X and Y. c) Find the conditional probability mass function of Y when X=3 and plot it.

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The data for the joint probability mass function of X and Y (two different mechanical propeties of a material) are given in the table below.
a) Calculate the marginal distributions of X and Y and plot them.
b) Find the means (expected values) of X and Y.
c) Find the conditional probability mass function of Y when X=3 and plot it.
d) Calculate the covariance of (X,Y) i.e. Cov(X,Y).

Y
f(x,y)
2
4
6
8
1
0.15
0.10
2
0.05
0.10
0.05
0.15
0.05
4
0.10
0.10
0.15
3.
Transcribed Image Text:Y f(x,y) 2 4 6 8 1 0.15 0.10 2 0.05 0.10 0.05 0.15 0.05 4 0.10 0.10 0.15 3.
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