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Question: 2014 Winter Final - 20

Author: Michiel Smid
I flip two fair and independent coins. If the first coin comes up heads, you win \$1. If the second coin comes up heads, you win \$2. (Thus, if both coins come up heads, you win \$3.) Define the random variable $X$ to be the amount of dollars that you win. What is the expected value of $X$?
(a)
2
(b)
3
(c)
5/2
(d)
3/2