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Question: 2014 Winter Final - 24

Author: Michiel Smid

We flip a fair coin independently $n$ times. Define the random variable

X = the number of heads minus the number of tails in the sequence of $n$ flips.

What is the expected value of $X$?

(a)

$n/8$

(b)

$0$

(c)

$n/4$

(d)

$n/2$