Consider a random variable X with the following cdf: X < -4 0.2x +0.8 -4 4 Determine P( -3.7 < X < -0.95 )
Consider a random variable X with the following cdf: X < -4 0.2x +0.8 -4 4 Determine P( -3.7 < X < -0.95 )
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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Determine P( -3.7 < X < -0.95 )
Express your answer as a proportion rounded to 3 decimal places.
![Consider a random variable \( X \) with the following cumulative distribution function (cdf):
\[
F_X(x) =
\begin{cases}
0, & x < -4 \\
0.2x + 0.8, & -4 \leq x < 0 \\
0.1\sqrt{x} + 0.8, & 0 \leq x \leq 4 \\
1, & x > 4
\end{cases}
\]
Determine \( P(-3.7 < X < -0.95) \).
Express your answer as a proportion rounded to 3 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea1167bf-2867-4249-8be3-5eefd73abe81%2F3fb5333b-5a51-449e-bb93-796f9e1d7dbb%2Fkhoo1u55_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a random variable \( X \) with the following cumulative distribution function (cdf):
\[
F_X(x) =
\begin{cases}
0, & x < -4 \\
0.2x + 0.8, & -4 \leq x < 0 \\
0.1\sqrt{x} + 0.8, & 0 \leq x \leq 4 \\
1, & x > 4
\end{cases}
\]
Determine \( P(-3.7 < X < -0.95) \).
Express your answer as a proportion rounded to 3 decimal places.
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