The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. Reviewer Ratings 0.435 (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. 0.5- 0.4 0.3- 0.2- 0.1- 0.0- 0.213 0.242 0.090 0.020 4. Probability

The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. Reviewer Ratings 0.435 (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. 0.5- 0.4 0.3- 0.2- 0.1- 0.0- 0.213 0.242 0.090 0.020 4. Probability

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Description: **Educational Website Content**### Review Analysis of a Recently Published BookThe histogram visualizes the reviewer ratings for a recently published book on a scale from 1 (lowest) to 5 (highest). #### Histogram Breakdown- **X-Axis (Rating):** Repr

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

**Educational Website Content**

### Review Analysis of a Recently Published Book

The histogram visualizes the reviewer ratings for a recently published book on a scale from 1 (lowest) to 5 (highest).

#### Histogram Breakdown

- **X-Axis (Rating):** Represents the ratings from 1 to 5.
- **Y-Axis (Probability):** Shows the probability of each rating.

**Bar Details:**

- Rating 1: Probability of 0.020
- Rating 2: Probability of 0.090
- Rating 3: Probability of 0.213
- Rating 4: Probability of 0.242
- Rating 5: Probability of 0.435

#### Statistical Analysis

**Task:**

(a) **Calculate the mean, variance, and standard deviation of the probability distribution.**

- **The mean** is ___. (Type an integer or a decimal. Do not round.)

- **The variance** is ___. (Round to two decimal places as needed.)

- **The standard deviation** is ___. (Round to two decimal places as needed.)

(b) **Interpret the results.** Select all that apply.

- **A.** The typical rating deviates from the mean by about 4.
- **B.** The typical rating deviates from the mean by about 1.
- **C.** The average rating for the book is approximately 4.
- **D.** The average rating for the book is approximately 1.

Please fill in the blanks with the appropriate calculations and interpretations.

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