1. Do you think it is reasonable to use the Normal probability model in this case? Answer this question and provide a reason why in one sentence.2. Using your histogram, determine the proportion of Sunday skates with a distance of 10 miles or more. Calculate the correct proportion and show your work for the calculation of the proportion. Round your proportion to four decimal places. ### Distribution of Sunday Skates for 2020/2021**Graph Description:**This histogram represents the distribution of distances skated on Sundays during the 2020/2021 period. The distances are categorized into bins and displayed along the horizontal axis (Distance), while the relative frequency is shown on the vertical axis. **Key Features:**- **Histogram Bars:** The blue bars represent the frequency of distances skated. The tallest bar is centered around the mean, indicating the most common distance. - **Normal Distribution Curve:** A red curve overlays the histogram, indicating a normal distribution of the data. This curve is bell-shaped, symmetrical around the mean. - **Mean and Standard Deviation (SD):** - The mean distance is 12.826, marked by a green vertical line. - The standard deviation is 2.9002, representing the variability of distances around the mean.This graph is used to visualize the spread and central tendency of skating distances, providing insights into patterns and variations in the skated distances during that period.

Answered: Distribution of Sunday Skates for…

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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Related questions

Question

1. Do you think it is reasonable to use the Normal probability model in this case? Answer this question and provide a reason why in one sentence.

2. Using your histogram, determine the proportion of Sunday skates with a distance of 10 miles or more. Calculate the correct proportion and show your work for the calculation of the proportion. Round your proportion to four decimal places.

### Distribution of Sunday Skates for 2020/2021

**Graph Description:**

This histogram represents the distribution of distances skated on Sundays during the 2020/2021 period. The distances are categorized into bins and displayed along the horizontal axis (Distance), while the relative frequency is shown on the vertical axis.

**Key Features:**

- **Histogram Bars:** The blue bars represent the frequency of distances skated. The tallest bar is centered around the mean, indicating the most common distance.

- **Normal Distribution Curve:** A red curve overlays the histogram, indicating a normal distribution of the data. This curve is bell-shaped, symmetrical around the mean.

- **Mean and Standard Deviation (SD):**
- The mean distance is 12.826, marked by a green vertical line.
- The standard deviation is 2.9002, representing the variability of distances around the mean.

This graph is used to visualize the spread and central tendency of skating distances, providing insights into patterns and variations in the skated distances during that period.

Expert Solution

Step 1: Introduction

The Normal distribution is also called as the Gaussian distribution. It is the most common distribution that is used.

The Normal distribution has two parameter firstly mean and secondly the standard deviation. It is a continuous probability function. It is usually find in nature.

The probability density function is given as