Question 1. Random variables X and Y take values in {1,2,3}. Their joint pmf is shown in the following table. Find E[XY] and E[Y|X]. X = 1 X=2 X = 3 Y = 1 Y = 2 Y = 3 0.1 0 0.2 0 0.3 0 0.2 0.2 0

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Question 1. Random variables X and Y take values in {1,2,3}. Their joint pmf is shown
in the following table.
Find E[XY] and E[Y|X].
X = 1
X = 2
X = 3
Y = 1 Y = 2 Y = 3
0.1
0
0.2
0
0.3
0
0.2
0.2
0
Transcribed Image Text:Question 1. Random variables X and Y take values in {1,2,3}. Their joint pmf is shown in the following table. Find E[XY] and E[Y|X]. X = 1 X = 2 X = 3 Y = 1 Y = 2 Y = 3 0.1 0 0.2 0 0.3 0 0.2 0.2 0
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