Let ( , )=�25(2 +3 ) 0≤ ≤1,0≤ ≤1 0 h ( , ) =� 2 −1≤ ≤1− , 0≤ ≤1 0 elsewhere i. find covariance and correlation coefficient of x and y a. find . b. find (1/2, 1/2). c. find (1/2, 2). d. find p(x > y). e. find marginal densities of x and y. f. find conditional densities of | = and | = . g. find [ | = ] and [ | = ]. h. are x and y independent? a. find the probability [ > + 1]. b. find the marginal densities ( ) and ( ). c. are x and y independent? explain. d. find the conditional densities | = ( ) and | = ( ). e. find the probability [ < 1/4| = 1/2]. f. find [ | = 1/2]. 0 h a. find the marginal densities fx (x) and ( ). b. find the conditional density function of y given x = 0.5. c. are the random variables x and y independent? explain. d. find ( , ) and the correlation coefficient . 8. finish the example from class: