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- IIT JAM
- Mathematics (MA)
3. let x1 and x, have the joint probability mass function p(x1, x2) given by cx, 2) (0.0) (0.1) (.0) (1.1) (2,0) (2,1) px, /18 3/18 4/18 3/18 6/18 1/18 and p(x,
3. Let X1 and X, have the joint probability mass function p(X1, X2) given by Cx, 2) (0.0) (0.1) (.0) (1.1) (2,0) (2,1) PX, /18 3/18 4/18 3/18 6/18 1/18 and p(X, X2) = 0 elsewhere. Find the marginal probability mass functions px, () and px, (2) and the conditional means E(X2/x,) and E(X,/x2). Further, give example of two random variables X and Y such that X and Y are dependent but the covariance between X and Y is 0.
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