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Suppose $X$ has probability density function $f(x)$ given by:

How many of the following statements must be TRUE?

i. Any real number can be an outcome of $X$.

ii. $P(10 < X < 20) < .1$.

iii. The probability that the outcome of $X$ is $10$ is equal to $0$.

iv. $\displaystyle\int_{-\infty}^{0}f(x)dx=1$.

v. $f(10)=0$.

A

$0$

B

$1$

C

$2$

D

$3$

E

$4$

F

$5$

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