Question: Problem 4.

f(x) is the probability density function for a particular random variable x. use integration to find the indicated probabilities.

\[f(x)=\left\{ \begin{matrix}

\frac{4}{{{x}^{5}}}\quad if\quad x\ge 1 \\

0\quad if\quad x<1 \\

\end{matrix} \right.\]

a. P( 4< x < +oo)

b. P(1 < x < 2)

c. P( x > 2)