Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y. -2 -1 2 Y 0.1 0.02 0.03 0.1 0.05 0.07 0.2 0.05 0.1 0.05 0.03 0.05 0.04 0.01. 0.1 (a) Compute the marginal distributions px (r) and py (y). (b) The conditional distributions P(X = x|Y = 1). (c) Are these random variables independent?

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Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y.
-2
-1
2
Y
0.1
0.02 0.03 0.1
0.05 0.07 0.2
0.05 0.1
0.05 0.03 0.05 0.04
0.01.
0.1
(a) Compute the marginal distributions px (r) and py (y).
(b) The conditional distributions P(X = x|Y = 1).
(c) Are these random variables independent?
Transcribed Image Text:Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y. -2 -1 2 Y 0.1 0.02 0.03 0.1 0.05 0.07 0.2 0.05 0.1 0.05 0.03 0.05 0.04 0.01. 0.1 (a) Compute the marginal distributions px (r) and py (y). (b) The conditional distributions P(X = x|Y = 1). (c) Are these random variables independent?
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