Homework Answers
A.
Number of heads (N) in two tosses of a coin can be 0,1 or
2.
We know that |Y| = |X| − N in which N ∈ {0, 1, 2}.
If X = +2, possible outcomes are Y = +2, +1 or 0.
If X = −2, possible outcomes are Y = -2, -1 or 0.
Therefore, Sy = {−2, −1, 0, +1, +2}.
B.
We already saw that if X = +2, possible outcomes are Y = +2, +1
or 0.
Also, we saw that Y = 0 can happen when X = −2.
Thus, as a set, the answer is {+1, +2}.
C.
This is the case that N = 2.
We cannot determine the input!
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