### Discrete Probability Distribution EvaluationDetermine 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.

Answer - A discrete probability distribution x P(x) 0 0.25 1 0.30 2 -0.10 3 0.30 4 0.25…

Answered: Frequency Distribution Table P(x) 0.25…

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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Please answer the question contained in the following picture
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Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −2, −1, 4, 5, and 6. Value x of X -2 -1 4 5 6 P ( X = x) 0.17 0.27 0.20
Complete the values of P (X = x) to give a legitimate probability distribution for the discrete random variable, whose possible values are -1, 2, 4, 5, and 6.
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. X P(x) - 0.095 1 0.348 2 0.391 3 0.166 A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to one decimal place as needed.) B. The table does not show a…

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