ermine the required value of the missing probability to make distribution a discrete probability distribution. Р(x) 3 0.21 4 ? 5 0.39 0.17 (Type an integer or a decimal.)
ermine the required value of the missing probability to make distribution a discrete probability distribution. Р(x) 3 0.21 4 ? 5 0.39 0.17 (Type an integer or a decimal.)
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
![**Determine the Required Value of the Missing Probability in a Discrete Probability Distribution**
To complete the given distribution as a discrete probability distribution, follow these steps:
### Probability Distribution Table
| x | P(x) |
|----|------|
| 3 | 0.21 |
| 4 | ? |
| 5 | 0.39 |
| 6 | 0.17 |
### Explanation of the Table
- **x** represents different outcomes of a random variable.
- **P(x)** represents the probability of each outcome.
### Problem
Determine the missing probability P(4) so that the sum of all probabilities equals 1.
### Solution
To find the missing probability, you need to ensure that the sum of all probabilities in the table is equal to 1, as required for a probability distribution. Thus, calculate:
P(3) + P(4) + P(5) + P(6) = 1
\[0.21 + P(4) + 0.39 + 0.17 = 1\]
P(4) = 1 - (0.21 + 0.39 + 0.17)
### Input Field
P(4) = [ ]
*(Type an integer or a decimal.)*
Ensure you fill in the appropriate value to complete the probability distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7723224-0607-4238-93fb-1f44a2fc5d78%2Fcfc2a018-c7f4-4aea-add9-68fec04488a5%2Ftd9u4m4_processed.png&w=3840&q=75)
Transcribed Image Text:**Determine the Required Value of the Missing Probability in a Discrete Probability Distribution**
To complete the given distribution as a discrete probability distribution, follow these steps:
### Probability Distribution Table
| x | P(x) |
|----|------|
| 3 | 0.21 |
| 4 | ? |
| 5 | 0.39 |
| 6 | 0.17 |
### Explanation of the Table
- **x** represents different outcomes of a random variable.
- **P(x)** represents the probability of each outcome.
### Problem
Determine the missing probability P(4) so that the sum of all probabilities equals 1.
### Solution
To find the missing probability, you need to ensure that the sum of all probabilities in the table is equal to 1, as required for a probability distribution. Thus, calculate:
P(3) + P(4) + P(5) + P(6) = 1
\[0.21 + P(4) + 0.39 + 0.17 = 1\]
P(4) = 1 - (0.21 + 0.39 + 0.17)
### Input Field
P(4) = [ ]
*(Type an integer or a decimal.)*
Ensure you fill in the appropriate value to complete the probability distribution.
Expert Solution

Step 1
Given :
x | p(x) |
3 | 0.21 |
4 | ? |
5 | 0.39 |
6 | 0.17 |
Step by step
Solved in 3 steps

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