(a) Find the PMF of W = -X. (b) What is the CDF Fw(w) of W?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Problem 4**: Suppose the PMF of a random variable \( X \) is
\[
P_X(x) =
\begin{cases}
0.3, & x = -2 \\
0.3, & x = 4 \\
0.4, & x = 6 \\
0, & \text{otherwise.}
\end{cases}
\]
**(a)** Find the PMF of \( W = -X \).
**(b)** What is the CDF \( F_W(w) \) of \( W \)?
**(c)** What is \( E[W] \)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbbfc8250-1df3-458c-8274-8bf80d6812bf%2F218061fe-96ed-4677-98bb-bf38e907fcc8%2Fo1kphtha_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 4**: Suppose the PMF of a random variable \( X \) is
\[
P_X(x) =
\begin{cases}
0.3, & x = -2 \\
0.3, & x = 4 \\
0.4, & x = 6 \\
0, & \text{otherwise.}
\end{cases}
\]
**(a)** Find the PMF of \( W = -X \).
**(b)** What is the CDF \( F_W(w) \) of \( W \)?
**(c)** What is \( E[W] \)?
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