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.$f(10)=0$.

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