the cumulative distribution function (odf) of the random vamable x x < 1 is given by f(x) = 0 -3 1-X, X 7/1 what is the density function of X ?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The cumulative distribution function (cdf) of the random variable \( X \) is given by

\[
F(x) = 
\begin{cases} 
0, & x < 1 \\
1 - x^{-3}, & x \geq 1 
\end{cases}
\]

What is the density function of \( X \)?
Transcribed Image Text:The cumulative distribution function (cdf) of the random variable \( X \) is given by \[ F(x) = \begin{cases} 0, & x < 1 \\ 1 - x^{-3}, & x \geq 1 \end{cases} \] What is the density function of \( X \)?
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