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Question: 2014 Fall Final - 21

Author: Michiel Smid
I flip two fair and independent coins. If the first coin comes up tails, you lose \$1 (i.e., you win -\$1). If the second coin comes up heads, you win \$2. (Thus, if the first coin comes up tails and the second coin comes up heads, you win \$1.) Define the random variable $X$ to be the amount of dollars that you win. What is the expected value of $X$?
(a)
1
(b)
1/2
(c)
1/4
(d)
2