The U.S. Department of Agriculture publishes information about U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is provided in the following contingency table. Frequencies are in thousands.A farm is randomly selected. Calculate the following probabilities.(g) The farm has either full owner or part owner tenure(h) The farm has tenant tenure or is 1000 & over Acres(i) The farm is T2 or A3 ### Tenure of Operators by AcreageThe following table categorizes farm operators based on the size of the acreage they operate and their tenure status (full owner, part owner, or tenant). The data is presented in numerical form, with total counts provided for each category.#### Table: Tenure of Operators by Acreage| Acreage | Full owner $T_1$ | Part owner $T_2$ | Tenant $T_3$ | Total ||-----------------|------------------|------------------|--------------|-------|| Under 50 $A_1$ | 0 | 70 | 44 | 114 || 50 - under 180 $A_2$ | 492 | 130 | 38 | 660 || 180 - under 500 $A_3$ | 198 | - | 170 | 368 || 500 - under 1000 $A_4$| 51 | 84 | 14 | 149 || 1000 & over $A_5$ | 41 | 114 | 17 | 172 || **Total** | **1521** | **541** | **183** | **2245**|#### Explanation of Table- **Acreage**: The total size of the farmland operated. - **Under 50 ($A_1$)**: Acreages below 50 acres. - **50 - under 180 ($A_2$)**: Acreages ranging from 50 to less than 180 acres. - **180 - under 500 ($A_3$)**: Acreages ranging from 180 to less than 500 acres. - **500 - under 1000 ($A_4$)**: Acreages ranging from 500 to less than 1000 acres. - **1000 & over ($A_5$)**: Acreages 1000 acres and above. - **Tenure of operator**: The ownership status of the farm operator. - **Full owner ($T_1$)**: Farms entirely owned by the operator. - **Part owner ($T_2$)**: Farms partly

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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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The U.S. Department of Agriculture publishes information about U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is provided in the following contingency table. Frequencies are in thousands.

A farm is randomly selected. Calculate the following probabilities.

(g) The farm has either full owner or part owner tenure

(h) The farm has tenant tenure or is 1000 & over Acres

(i) The farm is T₂ or A₃

### Tenure of Operators by Acreage

The following table categorizes farm operators based on the size of the acreage they operate and their tenure status (full owner, part owner, or tenant). The data is presented in numerical form, with total counts provided for each category.

#### Table: Tenure of Operators by Acreage

| Acreage | Full owner $T_1$ | Part owner $T_2$ | Tenant $T_3$ | Total |
|-----------------|------------------|------------------|--------------|-------|
| Under 50 $A_1$ | 0 | 70 | 44 | 114 |
| 50 - under 180 $A_2$ | 492 | 130 | 38 | 660 |
| 180 - under 500 $A_3$ | 198 | - | 170 | 368 |
| 500 - under 1000 $A_4$| 51 | 84 | 14 | 149 |
| 1000 & over $A_5$ | 41 | 114 | 17 | 172 |
| **Total** | **1521** | **541** | **183** | **2245**|

#### Explanation of Table

- **Acreage**: The total size of the farmland operated.
- **Under 50 ($A_1$)**: Acreages below 50 acres.
- **50 - under 180 ($A_2$)**: Acreages ranging from 50 to less than 180 acres.
- **180 - under 500 ($A_3$)**: Acreages ranging from 180 to less than 500 acres.
- **500 - under 1000 ($A_4$)**: Acreages ranging from 500 to less than 1000 acres.
- **1000 & over ($A_5$)**: Acreages 1000 acres and above.

- **Tenure of operator**: The ownership status of the farm operator.
- **Full owner ($T_1$)**: Farms entirely owned by the operator.
- **Part owner ($T_2$)**: Farms partly

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