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Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. x P(x) 0 0.295 1 0.273 -0.048 3 0.064 4 0.278 5 0.138 O Probability distribution. O Not a probability distribution. The sum of the P (x)'s is not 1. O Not a probability distribution. One of the P (x)'s is negative.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. x P(x) 0 0.295 1 0.273 -0.048 3 0.064 4 0.278 5 0.138 O Probability distribution. O Not a probability distribution. The sum of the P (x)'s is not 1. O Not a probability distribution. One of the P (x)'s is negative.

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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**Problem Statement:** Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. **Table:** | x | P(x) | |---|-------| | 0 | 0.295 | | 1 | 0.273 | | 2 | -0.048 | | 3 | 0.064 | | 4 | 0.278 | | 5 | 0.138 | **Options:** - O Probability distribution. - O Not a probability distribution. The sum of the P(x)'s is not 1. - O Not a probability distribution. One of the P(x)'s is negative. **Explanation:** The table provides values for x alongside corresponding probabilities P(x). To determine if this is a valid probability distribution, two key requirements must be checked: 1. **The sum of all P(x) values must equal 1.** 2. **All individual probabilities P(x) must be non-negative.** In this case, P(2) = -0.048 is negative, thus violating the second requirement, indicating it is not a probability distribution.
Transcribed Image Text:**Problem Statement:** Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. **Table:** | x | P(x) | |---|-------| | 0 | 0.295 | | 1 | 0.273 | | 2 | -0.048 | | 3 | 0.064 | | 4 | 0.278 | | 5 | 0.138 | **Options:** - O Probability distribution. - O Not a probability distribution. The sum of the P(x)'s is not 1. - O Not a probability distribution. One of the P(x)'s is negative. **Explanation:** The table provides values for x alongside corresponding probabilities P(x). To determine if this is a valid probability distribution, two key requirements must be checked: 1. **The sum of all P(x) values must equal 1.** 2. **All individual probabilities P(x) must be non-negative.** In this case, P(2) = -0.048 is negative, thus violating the second requirement, indicating it is not a probability distribution.
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