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
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Determine the 62th 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.

 
**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.*
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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