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Suppose $X$ is a random variable whose probability mass function $p(x)$ is given by:

$$ p(x)=\begin{cases} .1 &\mbox{if } x=.15, .25\\\ .25 &\mbox{if } x=.05, .2\\\ .3 &\mbox{if } x=.35 \end{cases} $$

What is the sample space of $X$?

A

$\{.1, .25, .3\}$

B

$\{.15,.25,.05,.2,.35\}$

C

$\{.1,.25,.3,.15,.05,.2,.35\}$

D

All positive integers.

E

Cannot be determined.

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