Question 1 : Suppose that we toss 5 fair coins and re-toss all the ones that come up tails. Let X be the number of of coins that come up heads on the first toss and Y be the number of re-tossed coins...

Extracted text: Question 1 : Suppose that we toss 5 fair coins and re-toss all the ones that come up tails. Let X be the number of of coins that come up heads on the first toss and Y be the number of re-tossed coins that come up heads on the second toss. a) Determine the joint distribution of X and Y. Find E(X+Y). b) Find a formula for E(YX).