In: Math
Suppose that 3 balls are chosen from an urn which contains 5
red, 6 white and 10 blue balls. Assume X and Y represents,
respectively, the number of red balls chosen and summation of
chosen red and white balls.
(a) Determine the outcomes, and then represent all possible
outcomes with a chart of X and Y.
(b) Determine pXY [x,y], and then from pXY [x,y] determine, pX[x]
and pY [y].
(c) Determine Cov(X, Y ) and ρXY .
(d) Determine the joint CDF.