### Table Completion and Probability Calculation#### a. Complete the TableThe table displays the number of TVs and Stereos manufactured by three different factories: X, Y, and Z.| | TV | Stereo | Total ||--------------|----|--------|-------|| **Factory X** | 32 | 33 | || **Factory Y** | 37 | 10 | || **Factory Z** | 11 | 18 | || **Total** | | | |You need to fill in the table to provide the totals for each category and the overall total.#### b. Probability Calculation**Problem Statement:**If one item is selected at random, find the probability that it was manufactured at Factory X given that the product was a Stereo.- **Let A =** (Select Factory)- **Let B =** (Select Product)- **Write Answer as a Fraction (Not Simplified):** ___- **Write Answer as a Percent Rounded to Two Decimal Places:** ___ %**Question Components:**- **Probability Equation:** P(Select an answer)- **Likelihood:** Is this likely or unlikely to happen? (Select an answer)- **Explanation Requirement:** Explain the reason for the correct answer above. (Select an answer)**Instructions:** Fill in the placeholders with the appropriate data and calculations to complete the task. **Manufacturing Factory Output and Probability Analysis**A manufacturing company has three factories labeled X, Y, and Z. The daily output for each factory is shown in the table below:| Factory | TV | Stereo ||----------|----|--------|| Factory X | 32 | 33 || Factory Y | 37 | 10 || Factory Z | 11 | 18 |**a. Complete the Table**The table needs totals to be completed as follows:| Factory | TV | Stereo | Total ||----------|----|--------|--------|| Factory X | 32 | 33 | || Factory Y | 37 | 10 | || Factory Z | 11 | 18 | || Total | | | |**b. Probability Calculation**Determine the probability that a randomly selected item was manufactured at Factory X, given that the product was a Stereo. - **Let A** be the event that the item was manufactured at a specific factory.- **Let B** be the event that the product is a Stereo.Fill in the selections for A (Factory) and B (Product) using dropdown options.- **Write your answer as a Fraction (Not Simplified)**- **Convert your answer to a Percentage rounded to two decimal places**To calculate:\[ P(\text{Select an answer}) = \frac{\text{Numerator}}{\text{Denominator}} = \text{Percentage} \% \]Use this analysis to understand the distribution of products across different factories and to calculate related probabilities based on specific product criteria.

Answered: Image /qna-images/answer/1cbc70be-92f0-4ec5-9687-363c757ba77a.jpg

Answered: a. Complete the table. TV Stereo Total…

Math

Statistics

a. Complete the table. TV Stereo Total Factory X 32 33 Factory Y 37 10 Factory Z 11 18 Total

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

### Table Completion and Probability Calculation

#### a. Complete the Table

The table displays the number of TVs and Stereos manufactured by three different factories: X, Y, and Z.

| | TV | Stereo | Total |
|--------------|----|--------|-------|
| **Factory X** | 32 | 33 | |
| **Factory Y** | 37 | 10 | |
| **Factory Z** | 11 | 18 | |
| **Total** | | | |

You need to fill in the table to provide the totals for each category and the overall total.

#### b. Probability Calculation

**Problem Statement:**

If one item is selected at random, find the probability that it was manufactured at Factory X given that the product was a Stereo.

- **Let A =** (Select Factory)
- **Let B =** (Select Product)
- **Write Answer as a Fraction (Not Simplified):** ___
- **Write Answer as a Percent Rounded to Two Decimal Places:** ___ %

**Question Components:**

- **Probability Equation:** P(Select an answer)
- **Likelihood:** Is this likely or unlikely to happen? (Select an answer)
- **Explanation Requirement:** Explain the reason for the correct answer above. (Select an answer)

**Instructions:** Fill in the placeholders with the appropriate data and calculations to complete the task.

**Manufacturing Factory Output and Probability Analysis**

A manufacturing company has three factories labeled X, Y, and Z. The daily output for each factory is shown in the table below:

| Factory | TV | Stereo |
|----------|----|--------|
| Factory X | 32 | 33 |
| Factory Y | 37 | 10 |
| Factory Z | 11 | 18 |

**a. Complete the Table**

The table needs totals to be completed as follows:

| Factory | TV | Stereo | Total |
|----------|----|--------|--------|
| Factory X | 32 | 33 | |
| Factory Y | 37 | 10 | |
| Factory Z | 11 | 18 | |
| Total | | | |

**b. Probability Calculation**

Determine the probability that a randomly selected item was manufactured at Factory X, given that the product was a Stereo.

- **Let A** be the event that the item was manufactured at a specific factory.
- **Let B** be the event that the product is a Stereo.

Fill in the selections for A (Factory) and B (Product) using dropdown options.

- **Write your answer as a Fraction (Not Simplified)**
- **Convert your answer to a Percentage rounded to two decimal places**

To calculate:

\[ P(\text{Select an answer}) = \frac{\text{Numerator}}{\text{Denominator}} = \text{Percentage} \% \]

Use this analysis to understand the distribution of products across different factories and to calculate related probabilities based on specific product criteria.

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