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Determine the required value of the missing probability to make the distribution a discrete probability distribution.

Determine the required value of the missing probability to make the distribution a discrete probability distribution.

MATLAB: An Introduction with Applications
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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**Title: Completing a Discrete Probability Distribution** **Objective:** Determine the required value of the missing probability to make the distribution a discrete probability distribution. **Instructions:** You are given the following probability distribution table: | x | P(x) | |-----|------| | 3 | 0.22 | | 4 | ? | | 5 | 0.53 | | 6 | 0.06 | To complete this distribution, recall that for a valid discrete probability distribution, the sum of all probabilities must equal 1. **Calculate P(4):** 1. Add the known probabilities: - P(3) = 0.22 - P(5) = 0.53 - P(6) = 0.06 2. Sum of known probabilities = 0.22 + 0.53 + 0.06 = 0.81 3. Calculate the missing probability: - P(4) = 1 - 0.81 = 0.19 **Conclusion:** P(4) = 0.19 **Note:** Enter this value as an integer or a decimal where requested.
Transcribed Image Text:**Title: Completing a Discrete Probability Distribution** **Objective:** Determine the required value of the missing probability to make the distribution a discrete probability distribution. **Instructions:** You are given the following probability distribution table: | x | P(x) | |-----|------| | 3 | 0.22 | | 4 | ? | | 5 | 0.53 | | 6 | 0.06 | To complete this distribution, recall that for a valid discrete probability distribution, the sum of all probabilities must equal 1. **Calculate P(4):** 1. Add the known probabilities: - P(3) = 0.22 - P(5) = 0.53 - P(6) = 0.06 2. Sum of known probabilities = 0.22 + 0.53 + 0.06 = 0.81 3. Calculate the missing probability: - P(4) = 1 - 0.81 = 0.19 **Conclusion:** P(4) = 0.19 **Note:** Enter this value as an integer or a decimal where requested.
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To find the value of P(4) we will use the fact that sum of probabilities of possible outcome is always one.

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