Determine the required value of the missing probability to make the distribution a discrete probability distribution P(4)= _
Determine the required value of the missing probability to make the distribution a discrete probability distribution P(4)= _
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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Determine the required value of the missing probability to make the distribution a discrete probability distribution
P(4)= _

Transcribed Image Text:**Probability Distribution Table**
The table below represents a probability distribution for a discrete random variable \( x \).
| \( x \) | \( P(x) \) |
|:---:|:---:|
| 3 | 0.33 |
| 4 | ? |
| 5 | 0.45 |
| 6 | 0.05 |
### Explanation
- **Column 1 (\( x \))**: The values of the discrete random variable.
- **Column 2 (\( P(x) \))**: The corresponding probability of each value of \( x \). Note that the probability for \( x = 4 \) is missing and is denoted by a question mark (?).
The sum of all probabilities (\( P(x) \)) in a complete probability distribution must equal 1. This information can be used to calculate the missing probability value.
Expert Solution

Step 1
Solution:
The given probability distribution is
x | P(x) |
3 | 0.33 |
4 | ? |
5 | 0.45 |
6 | 0.05 |
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