Question: 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

pls help thx (8 pt) Let Xbe Ybe two random variables. Both

(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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