See image below **Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.**If a person is randomly selected from a certain town, the probability distribution for the number, $ x $, of siblings is as described in the accompanying table.| $ x $ | $ P(x) $ ||---------|-----------|| 0 | 0.28 || 1 | 0.34 || 2 | 0.23 || 3 | 0.25 || 4 | 0.06 || 5 | 0.03 |**Explanation:**The table represents a probability distribution for the variable $ x $, which signifies the number of siblings. A valid probability distribution must satisfy the following conditions:1. Every probability $ P(x) $ must be between 0 and 1.2. The sum of all probabilities $ P(x) $ must equal 1.To determine if this is a valid probability distribution, check the sum: $ 0.28 + 0.34 + 0.23 + 0.25 + 0.06 + 0.03 = 1.19 $Since the sum of the probabilities is 1.19, which is greater than 1, this does not satisfy the requirement for a probability distribution.

Conditions for the discrete probability distribution: 1. The sum of all probability is equal to 1.…

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 2) If a person is randomly selected from a certain town, the probability distribution for the number, x, of siblings is as described in the accompanying table. x | P(x) 0 0.28 1 0.34 2 0.23 3 0.25 4 0.06 5 0.03

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. 2) If a person is randomly selected from a certain town, the probability distribution for the number, x, of siblings is as described in the accompanying table. x | P(x) 0 0.28 1 0.34 2 0.23 3 0.25 4 0.06 5 0.03

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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Question

See image below

**Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.**

If a person is randomly selected from a certain town, the probability distribution for the number, $ x $, of siblings is as described in the accompanying table.

| $ x $ | $ P(x) $ |
|---------|-----------|
| 0 | 0.28 |
| 1 | 0.34 |
| 2 | 0.23 |
| 3 | 0.25 |
| 4 | 0.06 |
| 5 | 0.03 |

**Explanation:**

The table represents a probability distribution for the variable $ x $, which signifies the number of siblings. A valid probability distribution must satisfy the following conditions:

1. Every probability $ P(x) $ must be between 0 and 1.
2. The sum of all probabilities $ P(x) $ must equal 1.

To determine if this is a valid probability distribution, check the sum:

$ 0.28 + 0.34 + 0.23 + 0.25 + 0.06 + 0.03 = 1.19 $

Since the sum of the probabilities is 1.19, which is greater than 1, this does not satisfy the requirement for a probability distribution.

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