attached ---**Title: Evaluating Probability Assignments for a Die****Introduction:**In the study of probability, it's crucial to ensure that probability assignments are legitimate. That is, they must conform to the established rules of probability. In this example, we will examine four different models that assign probabilities to the faces of a six-sided die. By analyzing these models, we can determine which are accurate representations and which contain errors.**Figure Explanation:****Figure 6.7: Four assignments of probability to the six faces of a die.**- **Outcome:** This row shows the faces of a die from 1 to 6.- **Models:** - **Model 1, 2, 3, and 4:** These columns list the probabilities assigned to each face under different models.Below is the table data:| Outcome | Model 1 | Model 2 | Model 3 | Model 4 ||---------|---------|---------|---------|---------|| 1 | 1/3 | 1/6 | 1/7 | 1/3 || 2 | 1/3 | 1/6 | 1/7 | 1/3 || 3 | 0 | 1/6 | 1/7 | -1/6 || 4 | 1/6 | 1/6 | 1/7 | 1/3 || 5 | 1/6 | 1/6 | 1/7 | -1/6 || 6 | 1/6 | 1/6 | 1/7 | 1/3 |**Assessment Checklist:****Model 1:**⬜ There are repeated probabilities. ⬜ There are 0 probabilities. ⬜ There are negative probabilities. ⬜ The probabilities have a sum not equal to 1. ⬜ This model is legitimate. **Model 2:**⬜ There are repeated probabilities. ⬜ There are 0 probabilities. ⬜ There are negative probabilities. ⬜ The probabilities have a sum not equal to 1. ⬜ This model is legitimate. **Model 3:**⬜ There are repeated probabilities. ⬜ There

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Description: attached ---**Title: Evaluating Probability Assignments for a Die****Introduction:**In the study of probability, it's crucial to ensure that probability assignments are legitimate. That is, they must conform to the established rules of probability. I

Model 1 : The sum of all the probabilities is 1. The model is legitimate. Model 2 : The sum of all…

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Statistics

Figure 6.7 displays several assignments of probability to the six faces of a die. We can learn which assignment is actually accurate for a particular die only by rolling the die many times. However, some of the asssignments are not legitimate assignments of probabliity. That is, they do not obey the rules. Which are legitimate and which are not? In the case of the illegitimate models, explain what is wrong. (Select all that apply.) Outcome Model 1 Model 2 Model 3 Model 4 1 7 国 Figure 6.7 Four assignmetns of probability to the six faces of a die. Model 1: There are repeated probabilities. O There are 0 probabilities. O There are negative probabilities. O The probabilities have a sum not equal to 1. O This model is legitimate. Model 2: There are repeated probabilities. O There are 0 probabilities. O There are negative probabilities. O The probabilities have a sum not equal to 1. O This model is legitimate. Model 3: There are repeated probabilities. O There are 0 probabilities. O There are negative probabilities. The probabilities have a sum not equal to 1. O This model is legitimate. -131131/ 116-13-3 16 1161611616 113 16 113

Figure 6.7 displays several assignments of probability to the six faces of a die. We can learn which assignment is actually accurate for a particular die only by rolling the die many times. However, some of the asssignments are not legitimate assignments of probabliity. That is, they do not obey the rules. Which are legitimate and which are not? In the case of the illegitimate models, explain what is wrong. (Select all that apply.) Outcome Model 1 Model 2 Model 3 Model 4 1 7 国 Figure 6.7 Four assignmetns of probability to the six faces of a die. Model 1: There are repeated probabilities. O There are 0 probabilities. O There are negative probabilities. O The probabilities have a sum not equal to 1. O This model is legitimate. Model 2: There are repeated probabilities. O There are 0 probabilities. O There are negative probabilities. O The probabilities have a sum not equal to 1. O This model is legitimate. Model 3: There are repeated probabilities. O There are 0 probabilities. O There are negative probabilities. The probabilities have a sum not equal to 1. O This model is legitimate. -131131/ 116-13-3 16 1161611616 113 16 113

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

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Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.

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attached

---

**Title: Evaluating Probability Assignments for a Die**

**Introduction:**
In the study of probability, it's crucial to ensure that probability assignments are legitimate. That is, they must conform to the established rules of probability. In this example, we will examine four different models that assign probabilities to the faces of a six-sided die. By analyzing these models, we can determine which are accurate representations and which contain errors.

**Figure Explanation:**

**Figure 6.7: Four assignments of probability to the six faces of a die.**
- **Outcome:** This row shows the faces of a die from 1 to 6.
- **Models:**
- **Model 1, 2, 3, and 4:** These columns list the probabilities assigned to each face under different models.

Below is the table data:

| Outcome | Model 1 | Model 2 | Model 3 | Model 4 |
|---------|---------|---------|---------|---------|
| 1 | 1/3 | 1/6 | 1/7 | 1/3 |
| 2 | 1/3 | 1/6 | 1/7 | 1/3 |
| 3 | 0 | 1/6 | 1/7 | -1/6 |
| 4 | 1/6 | 1/6 | 1/7 | 1/3 |
| 5 | 1/6 | 1/6 | 1/7 | -1/6 |
| 6 | 1/6 | 1/6 | 1/7 | 1/3 |

**Assessment Checklist:**

**Model 1:**
⬜ There are repeated probabilities.
⬜ There are 0 probabilities.
⬜ There are negative probabilities.
⬜ The probabilities have a sum not equal to 1.
⬜ This model is legitimate.

**Model 2:**
⬜ There are repeated probabilities.
⬜ There are 0 probabilities.
⬜ There are negative probabilities.
⬜ The probabilities have a sum not equal to 1.
⬜ This model is legitimate.

**Model 3:**
⬜ There are repeated probabilities.
⬜ There

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