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

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

Answered: Determine the required value of the…

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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Question

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

**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.

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Solution:

The given probability distribution is

x	P(x)
3	0.33
4	?
5	0.45
6	0.05

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