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

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### 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.
Transcribed Image Text:### 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.
Transcribed Image Text:**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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