Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) D 3 0.18 4 ? 0.34 6 0.22 ..... P(4) = (Type an integer or a decimal.)
Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(x) D 3 0.18 4 ? 0.34 6 0.22 ..... P(4) = (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
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![Determine the required value of the missing probability to make the distribution a discrete probability distribution.
| x | P(x) |
|---|-------|
| 3 | 0.18 |
| 4 | ? |
| 5 | 0.34 |
| 6 | 0.22 |
P(4) = ⬜ (Type an integer or a decimal.)
To solve for the missing probability P(4), the sum of all probabilities in a discrete probability distribution should equal 1. Calculate the missing value by ensuring the total probability equals 1:
\[ P(3) + P(4) + P(5) + P(6) = 1 \]
Given:
\[ P(3) = 0.18, \]
\[ P(5) = 0.34, \]
\[ P(6) = 0.22. \]
Add the known probabilities and subtract from 1:
\[ 0.18 + 0.34 + 0.22 = 0.74 \]
\[ 1 - 0.74 = 0.26 \]
Therefore, P(4) = 0.26.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a421fd4-793a-4978-aa62-79c522d610d1%2F4121b7dc-7eac-4b49-a8e9-162f9423b01a%2Fvovk7nd_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the required value of the missing probability to make the distribution a discrete probability distribution.
| x | P(x) |
|---|-------|
| 3 | 0.18 |
| 4 | ? |
| 5 | 0.34 |
| 6 | 0.22 |
P(4) = ⬜ (Type an integer or a decimal.)
To solve for the missing probability P(4), the sum of all probabilities in a discrete probability distribution should equal 1. Calculate the missing value by ensuring the total probability equals 1:
\[ P(3) + P(4) + P(5) + P(6) = 1 \]
Given:
\[ P(3) = 0.18, \]
\[ P(5) = 0.34, \]
\[ P(6) = 0.22. \]
Add the known probabilities and subtract from 1:
\[ 0.18 + 0.34 + 0.22 = 0.74 \]
\[ 1 - 0.74 = 0.26 \]
Therefore, P(4) = 0.26.
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