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pls help thx (8 pt) Let Xbe Ybe two random variables. Both of them have the range of {1; 2; 3}. The joint probability distribution

pls help thx

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(8 pt) Let Xbe Ybe two random variables. Both of them have the range of {1; 2; 3}. The joint probability distribution of Xand Y, along with the marginal distribution of Xand Y, respectively, are partially given in the following table. X 1 2 3 fy(y) 1 0.18 0.07 a 0.25 Y: 2 b 0.15 c 0.35 3 d e 0.0 f fX(;.-c) 0.28 0.60 g 1 a. Find the values of a; b; c; d; e; f and g. (2.8 pt) b. E[Y|X = 2] = ? {1.2 pt) c. Calculate the covariance of X and Y. (2 pt) d. Are X and Y independent? (You need to explain your answer. A simple Yes or No answer, regardless if it is correct or not, will not be given any credits.) {2 pt)

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