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} $.

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

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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} $.

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