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Consider random variables X and Y with a joint continuous p.d.f. given by: 6 2 where :1: 2 0 and 2 E y S 5

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Consider random variables X and Y with a joint continuous p.d.f. given by: 6 2 where :1: 2 0 and 2 E y S 5 (and is 0 otherwise). eily+ 1) f($ey) : a. Determine P(X g 3,3 <_i y e to decimal places. b. determine fx the marginal p.d.f of x. c. fyix conditional p.d.f. on given x="m." d. using result from part are and independent justify your>

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