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Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4)= (Type an integer or a decimal.) X 3 4 5 6 P(x) 0.35 ? 0.33 0.17

Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4)= (Type an integer or a decimal.) X 3 4 5 6 P(x) 0.35 ? 0.33 0.17

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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**Transcription for Educational Website** **Title: Determining Missing Probabilities in a Discrete Probability Distribution** **Objective:** Learn how to find the missing probability in a discrete probability distribution. **Problem Statement:** Determine the required value of the missing probability to make the distribution a discrete probability distribution. **Data Table:** | x | P(x) | |----|------| | 3 | 0.35 | | 4 | ? | | 5 | 0.33 | | 6 | 0.17 | **Task:** Calculate P(4). **Instructions:** Follow the principles of probability distributions where the sum of all probabilities must equal 1. **Solution:** To find the missing probability, sum the known probabilities and subtract from 1: \[ P(3) + P(4) + P(5) + P(6) = 1 \] Substitute the known values: \[ 0.35 + P(4) + 0.33 + 0.17 = 1 \] Solve for P(4): \[ P(4) = 1 - (0.35 + 0.33 + 0.17) \] Enter your calculated value as either an integer or a decimal. **Note:** Ensure that the result is checked for accuracy in context of probability values.
Transcribed Image Text:**Transcription for Educational Website** **Title: Determining Missing Probabilities in a Discrete Probability Distribution** **Objective:** Learn how to find the missing probability in a discrete probability distribution. **Problem Statement:** Determine the required value of the missing probability to make the distribution a discrete probability distribution. **Data Table:** | x | P(x) | |----|------| | 3 | 0.35 | | 4 | ? | | 5 | 0.33 | | 6 | 0.17 | **Task:** Calculate P(4). **Instructions:** Follow the principles of probability distributions where the sum of all probabilities must equal 1. **Solution:** To find the missing probability, sum the known probabilities and subtract from 1: \[ P(3) + P(4) + P(5) + P(6) = 1 \] Substitute the known values: \[ 0.35 + P(4) + 0.33 + 0.17 = 1 \] Solve for P(4): \[ P(4) = 1 - (0.35 + 0.33 + 0.17) \] Enter your calculated value as either an integer or a decimal. **Note:** Ensure that the result is checked for accuracy in context of probability values.
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