Let X be a random variable with probability density function L{(1 }(1– æ), -1 < x < 0 f(x) = 0, otherwise.

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hello! I need help with the following probability problem. Thank you in advance..!

 

Let \( X \) be a random variable with probability density function

\[
f(x) = 
\begin{cases} 
\frac{2}{3}(1-x), & -1 \leq x < 0 \\ 
0, & \text{otherwise}.
\end{cases}
\]

Find the expectation and variance of \( X \).
Transcribed Image Text:Let \( X \) be a random variable with probability density function \[ f(x) = \begin{cases} \frac{2}{3}(1-x), & -1 \leq x < 0 \\ 0, & \text{otherwise}. \end{cases} \] Find the expectation and variance of \( X \).
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