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In: Statistics and Probability

Q7 A fair coin is tossed three times independently: let X denote the number of heads...

Q7 A fair coin is tossed three times independently: let X denote the number of heads on the first toss (i.e., X = 1 if the first toss is a head; otherwise X = 0) and Y denote the total number of heads.

Hint: first figure out the possible values of X and Y , then complete the table cell by cell.

Marginalize the joint probability mass function of X and Y in the previous qusetion to get marginal PMF’s.

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