Please show working out with english in complete detail, Thank you :) (1) Let X
ID: 3439843 • Letter: P
Question
Please show working out with english in complete detail, Thank you :)
(1) Let X1, X2, and X3 be three independant and identically distributed random variables with
We form a new sequaence of random variables
Y1 = X1 , Y2 = X1X2 and Y3 = X1X2X3.
(a) Obtain the marginal PMFs of Y2 and Y3.
(b) Obtain the conditional PMFs of Y2 and Y3 given Y1 = y1 for y1 = -1,1.
(c) Obtain the joint PMFs of each of (Y1,Y2), (Y1,Y3) and (Y2,Y3).
(d) Compute E[Y1Y2], E[Y1Y3] and E[Y2Y3].
(e) Are Y1 and Y2 independant? Are Y1 and Y3 independant? Are Y2 and Y3 independant?
Explanation / Answer
Please show working out with english in complete detail, Thank you :) (1) Let X