Given the probability distributions shown to the right, complete the following parts. Distribution A Distribution B Xi P(X = x;) Xi P(X =x;) a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. 0.02 0.50 0.08 0.16 0.24 0.24 0.16 0.08 0.02 1 3 0.50 x 01 234
Given the probability distributions shown to the right, complete the following parts. Distribution A Distribution B Xi P(X = x;) Xi P(X =x;) a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. 0.02 0.50 0.08 0.16 0.24 0.24 0.16 0.08 0.02 1 3 0.50 x 01 234
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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![**Probability Distributions Analysis**
Given the probability distributions shown to the right, complete the following parts:
### a. Compute the expected value for each distribution.
### b. Compute the standard deviation for each distribution.
### c. What is the probability that x will be at least 3 in Distribution A and Distribution B?
### d. Compare the results of distributions A and B.
**Distribution A:**
\[
\begin{array}{|c|c|}
\hline
x_i & P(X = x_i) \\
\hline
0 & 0.02 \\
\hline
1 & 0.08 \\
\hline
2 & 0.16 \\
\hline
3 & 0.24 \\
\hline
4 & 0.50 \\
\hline
\end{array}
\]
**Distribution B:**
\[
\begin{array}{|c|c|}
\hline
x_i & P(X = x_i) \\
\hline
0 & 0.50 \\
\hline
1 & 0.24 \\
\hline
2 & 0.16 \\
\hline
3 & 0.08 \\
\hline
4 & 0.02 \\
\hline
\end{array}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90030b31-8456-491f-aeee-bd0f02cf8e6c%2Fdf2b1060-e1a1-4c9b-8994-ded8791a22a9%2Fo2oayb_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Distributions Analysis**
Given the probability distributions shown to the right, complete the following parts:
### a. Compute the expected value for each distribution.
### b. Compute the standard deviation for each distribution.
### c. What is the probability that x will be at least 3 in Distribution A and Distribution B?
### d. Compare the results of distributions A and B.
**Distribution A:**
\[
\begin{array}{|c|c|}
\hline
x_i & P(X = x_i) \\
\hline
0 & 0.02 \\
\hline
1 & 0.08 \\
\hline
2 & 0.16 \\
\hline
3 & 0.24 \\
\hline
4 & 0.50 \\
\hline
\end{array}
\]
**Distribution B:**
\[
\begin{array}{|c|c|}
\hline
x_i & P(X = x_i) \\
\hline
0 & 0.50 \\
\hline
1 & 0.24 \\
\hline
2 & 0.16 \\
\hline
3 & 0.08 \\
\hline
4 & 0.02 \\
\hline
\end{array}
\]
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