3.1 (20 points) Let X={X}N and Y={Y}N be two effectively generatable computationally indistinguishable distribution ensembles, namely XcY. Show that X2cY2, where D2={D2}N and D2 is the distribution where a single sample consists of two independently drawn samples from D. (Hint: Use a hybrid argument. What would be the hybrid distribution?) *3.2 (20 points): Does the same hold even when X,Y are not effectively samplable? either argue why or show a counter example. What about the case where one out of X,Y is effectively samplable? **3.3 (40 points): Let X(0),X(1) be efficiently generatable probability ensembles with computational distance at most 31. Show that Y(0)cY(1), where Y(b)={Y(b)}N and Y(b) is the following distribution: A sample y from Y(b) is an -tuple y=y1,,y, where yi is an independently drawn sample from X(bi), and b1,,b are uniformly from {0,1} subject to b1b=b