### Data Set Analysis: Exit Velocity of Home Runs The data set represents the exit velocity (in miles per hour, mph) of home runs hit during a recent baseball season. The goal is to analyze the distribution of these velocities.#### Data TableThe exit velocities included in the dataset are listed below:```97.5, 100.7, 102.3, 97, 105.6107.4, 102.2, 105.8, 105.7, 10497.6, 101.6, 105.6, 101.3, 107.5105.4, 106.4, 94.7, 105.6, 109.2110.8, 108.8, 100.4, 104.5, 103.1104, 102.7, 103.6, 101.1, 105.498.2, 97.8, 103.8, 101.1, 103.9107.2, 102, 116.7, 105.5, 101.4104.3, 105.9, 106.2, 102.6, 101.4113.7, 103, 96.2, 91.1, 98.9```#### Relative Frequency TableA table showing relative frequency of exit velocity ranges is provided. Here are the specified ranges and their respective relative frequencies:| Exit Velocity (mph) | Relative Frequency ||---------------------|--------------------|| 90 to 94 | || 94.1 to 99 | || 99.1 to 104 | || 104.1 to 109 | |*Note: Relative frequencies are represented visually and need to be calculated or observed.*#### Instructions for Analysis:1. **Determine Frequency Classes:** Calculate the frequency of exit velocities falling into each specified range.2. **Convert to Relative Frequency:** The relative frequency is the fraction of total data points that fall within each range.3. **Lower Class Limit:** For part (a), define the lower class limit as specified.- **(a)** With a first class having a lower class limit of your choice. (Type integers or decimals. Do not round.)4 ### Data Entry for Relative Frequency of Exit Velocity (mph)Please enter the values in the table below. Input integers or decimals. Do not round the values.#### Exit Velocity Distribution Table| Exit Velocity (mph) | Relative Frequency ||---------------------|--------------------|| 90 to 92.4 | [ ] || 92.5 to 94.9 | [ ] || 95 to 97.4 | [ ] || 97.5 to 99.9 | [ ] || 100 to 102.4 | [ ] || 102.5 to 104.9 | [ ] || 105 to 107.4 | [ ] |*Click to select your answer(s).*This table is designed to collect data regarding the relative frequency of different exit velocities measured in miles per hour (mph). Each cell needs to be filled with the corresponding relative frequency for the specified range of exit velocities.

Given information: The data showing the exit velocity of homeruns (mph) is provided as 97.5…

The data set represents the exit velocity (in mile below. Data Table seball season. Complete parts (a) through (e) E Click the icon for the Exit Velocity of Home (a) With a first class having a lower class limit ol choice. (Type integers or decimals. Do not round.) Exit Velocity of Homeruns (mph) 102.3 107.4 102.2 105.8 105.7 105.6 94.7 below and fill in any answer boxes within the 97.5 100.7 97 105.6 O 104 101.3 107.5 109.2 103.1 105.4 103.9 109.5 101.4 98.9 97.6 105.4 110.6 O A. 106.4 110.8 108.8 100.4 105.5 104.5 101 101.1 101 102.6 91.1 Exit Velocity (mph) Relative Frequency 104.7 98.2 107.2 102.5 100.6 103.4 116.7 106.6 96.2 97.8 105.9 105.9 90 to 94 94.1 to 99 104.3 113.7 99.1 to 104 103 104.1 to 109 Print Done Click to select your answer(s).

The data set represents the exit velocity (in mile below. Data Table seball season. Complete parts (a) through (e) E Click the icon for the Exit Velocity of Home (a) With a first class having a lower class limit ol choice. (Type integers or decimals. Do not round.) Exit Velocity of Homeruns (mph) 102.3 107.4 102.2 105.8 105.7 105.6 94.7 below and fill in any answer boxes within the 97.5 100.7 97 105.6 O 104 101.3 107.5 109.2 103.1 105.4 103.9 109.5 101.4 98.9 97.6 105.4 110.6 O A. 106.4 110.8 108.8 100.4 105.5 104.5 101 101.1 101 102.6 91.1 Exit Velocity (mph) Relative Frequency 104.7 98.2 107.2 102.5 100.6 103.4 116.7 106.6 96.2 97.8 105.9 105.9 90 to 94 94.1 to 99 104.3 113.7 99.1 to 104 103 104.1 to 109 Print Done Click to select your answer(s).

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

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

### Data Set Analysis: Exit Velocity of Home Runs

The data set represents the exit velocity (in miles per hour, mph) of home runs hit during a recent baseball season. The goal is to analyze the distribution of these velocities.

#### Data Table

The exit velocities included in the dataset are listed below:

```
97.5, 100.7, 102.3, 97, 105.6
107.4, 102.2, 105.8, 105.7, 104
97.6, 101.6, 105.6, 101.3, 107.5
105.4, 106.4, 94.7, 105.6, 109.2
110.8, 108.8, 100.4, 104.5, 103.1
104, 102.7, 103.6, 101.1, 105.4
98.2, 97.8, 103.8, 101.1, 103.9
107.2, 102, 116.7, 105.5, 101.4
104.3, 105.9, 106.2, 102.6, 101.4
113.7, 103, 96.2, 91.1, 98.9
```

#### Relative Frequency Table

A table showing relative frequency of exit velocity ranges is provided. Here are the specified ranges and their respective relative frequencies:

| Exit Velocity (mph) | Relative Frequency |
|---------------------|--------------------|
| 90 to 94 | |
| 94.1 to 99 | |
| 99.1 to 104 | |
| 104.1 to 109 | |

*Note: Relative frequencies are represented visually and need to be calculated or observed.*

#### Instructions for Analysis:

1. **Determine Frequency Classes:** Calculate the frequency of exit velocities falling into each specified range.
2. **Convert to Relative Frequency:** The relative frequency is the fraction of total data points that fall within each range.
3. **Lower Class Limit:** For part (a), define the lower class limit as specified.

- **(a)** With a first class having a lower class limit of your choice. (Type integers or decimals. Do not round.)

4

### Data Entry for Relative Frequency of Exit Velocity (mph)

Please enter the values in the table below. Input integers or decimals. Do not round the values.

#### Exit Velocity Distribution Table

| Exit Velocity (mph) | Relative Frequency |
|---------------------|--------------------|
| 90 to 92.4 | [ ] |
| 92.5 to 94.9 | [ ] |
| 95 to 97.4 | [ ] |
| 97.5 to 99.9 | [ ] |
| 100 to 102.4 | [ ] |
| 102.5 to 104.9 | [ ] |
| 105 to 107.4 | [ ] |

*Click to select your answer(s).*

This table is designed to collect data regarding the relative frequency of different exit velocities measured in miles per hour (mph). Each cell needs to be filled with the corresponding relative frequency for the specified range of exit velocities.

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