F(x) = 1 2 0 + 1 3 (x-4) 5x - 44 (5 (a) Compute P(X < 0). 0.5 x < -2 -2≤ x < 2 2 ≤ x (b) Compute P(-1 < X < 1). (Round your answer to four decimal places.) 0.6363 X (c) Compute P(0.4 < X). (Round your answer to four decimal places.) 0.1302
F(x) = 1 2 0 + 1 3 (x-4) 5x - 44 (5 (a) Compute P(X < 0). 0.5 x < -2 -2≤ x < 2 2 ≤ x (b) Compute P(-1 < X < 1). (Round your answer to four decimal places.) 0.6363 X (c) Compute P(0.4 < X). (Round your answer to four decimal places.) 0.1302
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
im not sure what did wrong in B) and C). i need help with D) as well
![The error involved in making a certain measurement is a continuous random variable \( X \) with the following cumulative distribution function (cdf):
\[
F(x) =
\begin{cases}
0 & x < -2 \\
\frac{1}{2} + \frac{3}{44} \left(5x - \frac{x^3}{3} \right) & -2 \leq x < 2 \\
1 & 2 \leq x
\end{cases}
\]
### Tasks
(a) Compute \( P(X < 0) \).
- Answer: 0.5 ✓
(b) Compute \( P(-1 < X < 1) \). (Round your answer to four decimal places.)
- Answer: 0.6363 ✗
(c) Compute \( P(0.4 < X) \). (Round your answer to four decimal places.)
- Answer: 0.1302 ✗
(d) Evaluate \( f(x) \) by obtaining \( F'(x) \).
- \( f(x) = F'(x) = \)
(e) Compute \( \tilde{\mu} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4927fb7d-fe4d-496e-94ae-b9c9f1ed73cb%2F7bbed079-fbae-484d-9d15-130bd9c7ac0c%2F7u48g3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The error involved in making a certain measurement is a continuous random variable \( X \) with the following cumulative distribution function (cdf):
\[
F(x) =
\begin{cases}
0 & x < -2 \\
\frac{1}{2} + \frac{3}{44} \left(5x - \frac{x^3}{3} \right) & -2 \leq x < 2 \\
1 & 2 \leq x
\end{cases}
\]
### Tasks
(a) Compute \( P(X < 0) \).
- Answer: 0.5 ✓
(b) Compute \( P(-1 < X < 1) \). (Round your answer to four decimal places.)
- Answer: 0.6363 ✗
(c) Compute \( P(0.4 < X) \). (Round your answer to four decimal places.)
- Answer: 0.1302 ✗
(d) Evaluate \( f(x) \) by obtaining \( F'(x) \).
- \( f(x) = F'(x) = \)
(e) Compute \( \tilde{\mu} \).
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