in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -3, -1, 1, 5, and 6. P ( X = x) Value x of X Check -3 -1 1 5 6 X 0.20 0.15 0 0.28 S M 31 Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessi Submit Assignme
in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -3, -1, 1, 5, and 6. P ( X = x) Value x of X Check -3 -1 1 5 6 X 0.20 0.15 0 0.28 S M 31 Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessi Submit Assignme
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 still having a hard time with this
![The task involves filling in the \( P(X = x) \) values to create a legitimate probability distribution for a discrete random variable \( X \), with possible values of \(-3\), \(-1\), \(1\), \(5\), and \(6\).
### Probability Distribution Table
| Value \( x \) of \( X \) | \( P(X = x) \) |
|--------------------------|----------------|
| \(-3\) | \(0.20\) |
| \(-1\) | \(0.15\) |
| \(1\) | \([ \, ? \, ]\)|
| \(5\) | \(0.28\) |
| \(6\) | \([ \, ? \, ]\)|
### Explanation
To ensure a legitimate probability distribution:
1. All probabilities \( P(X = x) \) must be non-negative.
2. The sum of the probabilities must equal 1.
Currently, the known probabilities are:
\[
0.20 + 0.15 + 0.28 = 0.63
\]
The sum of the unknown probabilities for \( X = 1 \) and \( X = 6 \) should be \(1 - 0.63 = 0.37\).
You can distribute these probabilities to complete the table. Adjust the values of \( P(X = 1) \) and \( P(X = 6) \) to sum to 0.37 while ensuring all conditions for the probability distribution are met.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5557f798-50fc-42ce-981e-d78a8f9a82ca%2F79114022-a3cb-4964-a81c-6e8dd7df4a65%2Fhrdf94r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The task involves filling in the \( P(X = x) \) values to create a legitimate probability distribution for a discrete random variable \( X \), with possible values of \(-3\), \(-1\), \(1\), \(5\), and \(6\).
### Probability Distribution Table
| Value \( x \) of \( X \) | \( P(X = x) \) |
|--------------------------|----------------|
| \(-3\) | \(0.20\) |
| \(-1\) | \(0.15\) |
| \(1\) | \([ \, ? \, ]\)|
| \(5\) | \(0.28\) |
| \(6\) | \([ \, ? \, ]\)|
### Explanation
To ensure a legitimate probability distribution:
1. All probabilities \( P(X = x) \) must be non-negative.
2. The sum of the probabilities must equal 1.
Currently, the known probabilities are:
\[
0.20 + 0.15 + 0.28 = 0.63
\]
The sum of the unknown probabilities for \( X = 1 \) and \( X = 6 \) should be \(1 - 0.63 = 0.37\).
You can distribute these probabilities to complete the table. Adjust the values of \( P(X = 1) \) and \( P(X = 6) \) to sum to 0.37 while ensuring all conditions for the probability distribution are met.
Expert Solution

Step 1: Introduce the given information
Here the given probability distribution table is:-
We have to complete the missing values of the table .
Step by step
Solved in 3 steps with 1 images

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