ng lable represents a legitimate discrete probability distribution. 0.25 10 0.2 25 30 0.15 The missing value is
ng lable represents a legitimate discrete probability distribution. 0.25 10 0.2 25 30 0.15 The missing value is
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
![**Title: Completing a Discrete Probability Distribution**
**Objective:**
Find the missing value so that the following table represents a legitimate discrete probability distribution.
**Table:**
| \(x\) | \(P(x)\) |
|------|---------|
| 0 | 0.25 |
| 10 | 0.2 |
| 25 | ? |
| 30 | 0.15 |
**Task:**
Calculate the missing probability value so that the sum of all probabilities equals 1, ensuring a legitimate probability distribution.
**Solution:**
To find the missing probability \(P(25)\), add all known probabilities and subtract from 1:
\[ 0.25 + 0.2 + ? + 0.15 = 1 \]
\[ 0.6 + ? = 1 \]
\[ ? = 1 - 0.6 = 0.4 \]
**Conclusion:**
The missing value is 0.4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F539b1833-4c8d-4827-bc24-0c6df3cec660%2F2d47d680-6d0d-44e5-926f-1cdb95e83a71%2F5trlp7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Completing a Discrete Probability Distribution**
**Objective:**
Find the missing value so that the following table represents a legitimate discrete probability distribution.
**Table:**
| \(x\) | \(P(x)\) |
|------|---------|
| 0 | 0.25 |
| 10 | 0.2 |
| 25 | ? |
| 30 | 0.15 |
**Task:**
Calculate the missing probability value so that the sum of all probabilities equals 1, ensuring a legitimate probability distribution.
**Solution:**
To find the missing probability \(P(25)\), add all known probabilities and subtract from 1:
\[ 0.25 + 0.2 + ? + 0.15 = 1 \]
\[ 0.6 + ? = 1 \]
\[ ? = 1 - 0.6 = 0.4 \]
**Conclusion:**
The missing value is 0.4.
Expert Solution

Step 1
Determine the probability values to the probability distribution table.
The probability values to the probability distribution table is obtained below as follows :
From the information, given that
Step by step
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