Consider a random variable X with the following cdf: X<-4 0.2x +0.8 -4 4 Determine the 62th percentile, which is the value with 0.62 probability on numbers less than this value and t remaining 1-0.62 probability on numbers greater than this value. Express your answer as a decimal rounded to 2 decimal places.
Consider a random variable X with the following cdf: X<-4 0.2x +0.8 -4 4 Determine the 62th percentile, which is the value with 0.62 probability on numbers less than this value and t remaining 1-0.62 probability on numbers greater than this value. Express your answer as a decimal rounded to 2 decimal places.
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 the 62th percentile, which is the value with 0.62
Express your answer as a decimal rounded to 2 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 the 62nd percentile, which is the value with 0.62 probability on numbers less than this value and the remaining \(1-0.62\) probability on numbers greater than this value.**
*Express your answer as a decimal rounded to 2 decimal places.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea1167bf-2867-4249-8be3-5eefd73abe81%2F55a24907-0630-428e-9d2d-869aae6be16c%2Fhalnwk_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 the 62nd percentile, which is the value with 0.62 probability on numbers less than this value and the remaining \(1-0.62\) probability on numbers greater than this value.**
*Express your answer as a decimal rounded to 2 decimal places.*
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