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Question: 2014 Fall Final - 24

Author: Michiel Smid

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

X = twice the number of heads minus three times the number of tails.

What is the expected value of $X$?

(a)

$-n$

(b)

$n$

(c)

$-n/2$

(d)

$n/2$