Use n = 6 and p = 0.4 to complete parts (a) through (d) below. XO P(x) 0 1 2 3 4 5 6 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using μx = [x P(x)] and σχ= ,Σ[x.p(x)] -μα. Hx = σx = (c) Compute the mean and standard deviation, using μx = np and ox = √√np(1-p). Hx = (Round to two decimal places as needed.) ox= (Round to two decimal places as needed.) (Round to two decimal places as needed.) (Round to two decimal places as needed.)
Use n = 6 and p = 0.4 to complete parts (a) through (d) below. XO P(x) 0 1 2 3 4 5 6 (Round to four decimal places as needed.) (b) Compute the mean and standard deviation of the random variable using μx = [x P(x)] and σχ= ,Σ[x.p(x)] -μα. Hx = σx = (c) Compute the mean and standard deviation, using μx = np and ox = √√np(1-p). Hx = (Round to two decimal places as needed.) ox= (Round to two decimal places as needed.) (Round to two decimal places as needed.) (Round to two decimal places as needed.)
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
![**Instructions: Use \( n = 6 \) and \( p = 0.4 \) to complete parts (a) through (d) below.**
**Table:**
- Column 1: \( x \)
- Column 2: \( P(x) \)
\( \begin{array}{c|c}
x & P(x) \\
\hline
0 & \\
1 & \\
2 & \\
3 & \\
4 & \\
5 & \\
6 & \\
\end{array} \)
*(Round to four decimal places as needed.)*
**(b) Compute the mean and standard deviation of the random variable using:**
- Mean (\( \mu_X \)) is given by:
\[
\mu_X = \sum [x \cdot P(x)]
\]
- Standard deviation (\( \sigma_X \)) is given by:
\[
\sigma_X = \sqrt{\sum [x^2 \cdot P(x)] - \mu_X^2}
\]
- Mean (\( \mu_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
- Standard deviation (\( \sigma_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
**(c) Compute the mean and standard deviation, using:**
- Mean (\( \mu_X \)) is given by:
\[
\mu_X = np
\]
- Standard deviation (\( \sigma_X \)) is given by:
\[
\sigma_X = \sqrt{np(1-p)}
\]
- Mean (\( \mu_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
- Standard deviation (\( \sigma_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6adfd37b-0822-4348-8627-3f69ef2ee0c8%2Ff7938a9c-2aec-47db-9276-252e25a27c03%2Feoykoxl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions: Use \( n = 6 \) and \( p = 0.4 \) to complete parts (a) through (d) below.**
**Table:**
- Column 1: \( x \)
- Column 2: \( P(x) \)
\( \begin{array}{c|c}
x & P(x) \\
\hline
0 & \\
1 & \\
2 & \\
3 & \\
4 & \\
5 & \\
6 & \\
\end{array} \)
*(Round to four decimal places as needed.)*
**(b) Compute the mean and standard deviation of the random variable using:**
- Mean (\( \mu_X \)) is given by:
\[
\mu_X = \sum [x \cdot P(x)]
\]
- Standard deviation (\( \sigma_X \)) is given by:
\[
\sigma_X = \sqrt{\sum [x^2 \cdot P(x)] - \mu_X^2}
\]
- Mean (\( \mu_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
- Standard deviation (\( \sigma_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
**(c) Compute the mean and standard deviation, using:**
- Mean (\( \mu_X \)) is given by:
\[
\mu_X = np
\]
- Standard deviation (\( \sigma_X \)) is given by:
\[
\sigma_X = \sqrt{np(1-p)}
\]
- Mean (\( \mu_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
- Standard deviation (\( \sigma_X \)): \([\ \ \ \ ]\) *(Round to two decimal places as needed.)*
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