im sure how to do this. i need help **Transcription for Educational Website**---**Cumulative Distribution Function (CDF) for Random Variable X**To obtain the cumulative distribution function (CDF) of the random variable $ X $, we define $ F(x) $ as follows:\[F(x) =\begin{cases}0, & \text{if } x < 0 \\\boxed{\text{Missing Information}}, & \text{if } 0 \leq x \leq 1 \\1, & \text{if } x > 1\end{cases}\]**Instructions:**Graph the CDF of $ X $ based on the defined function. The missing portion needs additional information to be complete.**Explanation:**- For values of $ x $ less than 0, $ F(x) $ is 0.- The value of $ F(x) $ for $ 0 \leq x \leq 1 $ is missing and needs to be determined.- For values of $ x $ greater than 1, $ F(x) $ is 1.---Please ensure to verify and fill in any missing information regarding $ 0 \leq x \leq 1 $ before graphing. Let $ X $ denote the amount of space occupied by an article placed in a 1-ft$^3$ packing container. The probability density function (pdf) of $ X $ is below.\[f(x) = \begin{cases} 90x^8(1-x) & \text{for } 0 < x < 1 \\0 & \text{otherwise}\end{cases}\](a) Graph the pdf.

Answered: Graph the cdf of X.

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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Question

im sure how to do this. i need help

**Transcription for Educational Website**

---

**Cumulative Distribution Function (CDF) for Random Variable X**

To obtain the cumulative distribution function (CDF) of the random variable $ X $, we define $ F(x) $ as follows:

\[
F(x) =
\begin{cases}
0, & \text{if } x < 0 \\
\boxed{\text{Missing Information}}, & \text{if } 0 \leq x \leq 1 \\
1, & \text{if } x > 1
\end{cases}
\]

**Instructions:**

Graph the CDF of $ X $ based on the defined function. The missing portion needs additional information to be complete.

**Explanation:**

- For values of $ x $ less than 0, $ F(x) $ is 0.
- The value of $ F(x) $ for $ 0 \leq x \leq 1 $ is missing and needs to be determined.
- For values of $ x $ greater than 1, $ F(x) $ is 1.

---

Please ensure to verify and fill in any missing information regarding $ 0 \leq x \leq 1 $ before graphing.

Let $ X $ denote the amount of space occupied by an article placed in a 1-ft$^3$ packing container. The probability density function (pdf) of $ X $ is below.

\[
f(x) =
\begin{cases}
90x^8(1-x) & \text{for } 0 < x < 1 \\
0 & \text{otherwise}
\end{cases}
\]

(a) Graph the pdf.

Expert Solution

Step 1: Determine the given data in the question

Let X be the given random variable that is the amount of space occupied by an article placed.

The pdf is,

$f left parenthesis x right parenthesis equals 90 x to the power of 8 left parenthesis 1 minus x right parenthesis space space space space space 0 less than x less than 1 space space space space space space equals space 0 space space space space space space space space space space space space space space space space space space space space space O t h e r w i s e$