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Frequency Distribution Table P(x) 0.25 0.30 -0.10 0.30 4 0.25 No, because some of the probabilities have values greater than 1 or less than O O Yes, because the distribution is symmetric O Yes, because the probabilities sum to 1 and all between 0 and 1, inclusive O No, because the total probability is not equal to 1 1. 2. 3.

Frequency Distribution Table P(x) 0.25 0.30 -0.10 0.30 4 0.25 No, because some of the probabilities have values greater than 1 or less than O O Yes, because the distribution is symmetric O Yes, because the probabilities sum to 1 and all between 0 and 1, inclusive O No, because the total probability is not equal to 1 1. 2. 3.

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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### Discrete Probability Distribution Evaluation Determine whether the distribution is a discrete probability distribution. #### Frequency Distribution Table | x | P(x) | |---|------| | 0 | 0.25 | | 1 | 0.30 | | 2 | -0.10 | | 3 | 0.30 | | 4 | 0.25 | #### Explanation: This table represents a frequency distribution, where "x" is the value and "P(x)" is the probability associated with "x". #### Analysis Points: 1. **Probabilities Must be Between 0 and 1**: - Each probability value, P(x), should be within this range. 2. **Sum of Probabilities Must Equal 1**: - The total of all P(x) must sum up to 1 to be considered a valid probability distribution. #### Options for Evaluation: - **No, because some of the probabilities have values greater than 1 or less than 0** - **Yes, because the distribution is symmetric** - **Yes, because the probabilities sum to 1 and all between 0 and 1, inclusive** - **No, because the total probability is not equal to 1** This table includes a negative probability and probabilities that do not sum up to 1, thus it does not represent a valid discrete probability distribution.
Transcribed Image Text:### Discrete Probability Distribution Evaluation Determine whether the distribution is a discrete probability distribution. #### Frequency Distribution Table | x | P(x) | |---|------| | 0 | 0.25 | | 1 | 0.30 | | 2 | -0.10 | | 3 | 0.30 | | 4 | 0.25 | #### Explanation: This table represents a frequency distribution, where "x" is the value and "P(x)" is the probability associated with "x". #### Analysis Points: 1. **Probabilities Must be Between 0 and 1**: - Each probability value, P(x), should be within this range. 2. **Sum of Probabilities Must Equal 1**: - The total of all P(x) must sum up to 1 to be considered a valid probability distribution. #### Options for Evaluation: - **No, because some of the probabilities have values greater than 1 or less than 0** - **Yes, because the distribution is symmetric** - **Yes, because the probabilities sum to 1 and all between 0 and 1, inclusive** - **No, because the total probability is not equal to 1** This table includes a negative probability and probabilities that do not sum up to 1, thus it does not represent a valid discrete probability distribution.
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