Describe the shape of the histogram. Choose the correct answer below. A.) Skewed right B.) SymmetricalC.) Skewed leftD.) None of these ### Histogram AnalysisThis histogram represents a probability distribution with the x-axis indicating the variable values and the y-axis representing the probability, $ P(x) $.#### Key Features:- **X-axis (Variable Values):** The distinct values range from 0 to 6.- **Y-axis (Probability, $ P(x) $):** The probability values range from 0.0 to 0.4.- **Bars:** - Value 0: Probability is approximately 0.05. - Value 1: Probability is approximately 0.15. - Value 2: Probability is approximately 0.3. - Value 3: Probability is approximately 0.35, the peak of the distribution. - Value 4: Probability is approximately 0.15. - Value 5: Probability is approximately 0.05. - Value 6: Probability is approximately 0.01.#### Interpretation:The distribution is unimodal and roughly symmetric around the mode at value 3, indicating that the most frequent outcome is 3. There is a tapering off of probability values on both sides of the peak. This pattern typically suggests a distribution akin to a normal distribution, though it is discrete in nature.

Answered: AP(x) 0.4 0.35- 0.3- 0.25- 0.2 0.15…

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

Describe the shape of the histogram. Choose the correct answer below. A.) Skewed right B.) Symmetrical C.) Skewed left D.) None of these

### Histogram Analysis

This histogram represents a probability distribution with the x-axis indicating the variable values and the y-axis representing the probability, $ P(x) $.

#### Key Features:
- **X-axis (Variable Values):** The distinct values range from 0 to 6.
- **Y-axis (Probability, $ P(x) $):** The probability values range from 0.0 to 0.4.
- **Bars:**
- Value 0: Probability is approximately 0.05.
- Value 1: Probability is approximately 0.15.
- Value 2: Probability is approximately 0.3.
- Value 3: Probability is approximately 0.35, the peak of the distribution.
- Value 4: Probability is approximately 0.15.
- Value 5: Probability is approximately 0.05.
- Value 6: Probability is approximately 0.01.

#### Interpretation:
The distribution is unimodal and roughly symmetric around the mode at value 3, indicating that the most frequent outcome is 3. There is a tapering off of probability values on both sides of the peak. This pattern typically suggests a distribution akin to a normal distribution, though it is discrete in nature.

Expert Solution

Step 1: Interpret the histogram

The objective is to determine the shape of the provided histogram based on the nature of symmetricity.

In this histogram, the values that are assumed by the variable $X$ is given on the $x$ -axis, whereas the corresponding probability values, $P (X)$ are given on the $y$ -axis.

In visual observation, the variable $X$ assumes values $0, 1, 2, 3, 4, 5,$ and $6$ with probabilities defined as the respective height of the corresponding bar' height.