### Understanding Independent and Dependent Events#### Determine whether each pair of actions results in independent or dependent events:**Scenario:**Pick one marble out of a bag. Then, without replacing the marble, pick another marble.**Options:**- **a.** Dependent; the first marble selection will affect the second marble selection.- **b.** Independent; the first marble selection will not affect the second marble selection.- **c.** Dependent; the first marble selection will not affect the second marble selection.- **d.** Independent; the first marble selection will affect the second marble selection.**Explanation:**When an event is dependent, the outcome of one event affects the outcome of the other. In this scenario, the first marble selection influences the probabilities of the remaining selections because the marble is not replaced. Therefore, the correct choice is:- **a. Dependent; the first marble selection will affect the second marble selection.**Understanding the difference between independent and dependent events is crucial for probability and statistics:- **Independent Events:** Events where the outcome of one event does not affect the outcome of another event.- **Dependent Events:** Events where the outcome of one event affects the outcome of another event.This concept is widely applied in various fields, including mathematics, statistics, and everyday decision-making.

Dependent and independent events in statistics relate to the link between two or more occurrences…

Determine whether each pair of actions results in independent or dependent events. Pick one marble out of a bag. Then, without replacing the marble, pick another marble. b d Dependent; the first marble selection will affect the second marble selection. Independent; the first marble selection will not affect the second marble selection. Dependent; the first marble selection will not affect the second marble selection. Independent; the first marble selection will affect the second marble selection.

Determine whether each pair of actions results in independent or dependent events. Pick one marble out of a bag. Then, without replacing the marble, pick another marble. b d Dependent; the first marble selection will affect the second marble selection. Independent; the first marble selection will not affect the second marble selection. Dependent; the first marble selection will not affect the second marble selection. Independent; the first marble selection will affect the second marble selection.

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

### Understanding Independent and Dependent Events

#### Determine whether each pair of actions results in independent or dependent events:

**Scenario:**
Pick one marble out of a bag. Then, without replacing the marble, pick another marble.

**Options:**
- **a.** Dependent; the first marble selection will affect the second marble selection.
- **b.** Independent; the first marble selection will not affect the second marble selection.
- **c.** Dependent; the first marble selection will not affect the second marble selection.
- **d.** Independent; the first marble selection will affect the second marble selection.

**Explanation:**

When an event is dependent, the outcome of one event affects the outcome of the other. In this scenario, the first marble selection influences the probabilities of the remaining selections because the marble is not replaced. Therefore, the correct choice is:

- **a. Dependent; the first marble selection will affect the second marble selection.**

Understanding the difference between independent and dependent events is crucial for probability and statistics:

- **Independent Events:** Events where the outcome of one event does not affect the outcome of another event.
- **Dependent Events:** Events where the outcome of one event affects the outcome of another event.

This concept is widely applied in various fields, including mathematics, statistics, and everyday decision-making.

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