The probability of the event is (Type an integer or decimal rounded to three decimal places as needed.) Can the event be considered unusual? A. No, because the probability is not close enough to 1. B. No, because the probability is not close enough to 0. OC. Yes, because the probability is close enough to 0. OD. Yes, because the probability is close enough to 1.
The probability of the event is (Type an integer or decimal rounded to three decimal places as needed.) Can the event be considered unusual? A. No, because the probability is not close enough to 1. B. No, because the probability is not close enough to 0. OC. Yes, because the probability is close enough to 0. OD. Yes, because the probability is close enough to 1.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
![### Probability Experiment
A probability experiment consists of rolling an eight-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the given event and tell whether the event can be considered unusual.
**Event:** Rolling a number less than 3 and the spinner landing on red
---
**The probability of the event is:** [____]
(Type an integer or decimal rounded to three decimal places as needed.)
---
**Can the event be considered unusual?**
- A. No, because the probability is not close enough to 1.
- B. No, because the probability is not close enough to 0.
- C. Yes, because the probability is close enough to 0.
- D. Yes, because the probability is close enough to 1.
---
**Explanation:**
To determine the probability of this event, follow these steps:
1. **Identify the possible outcomes for rolling the eight-sided die.**
- The die has eight faces numbered 1 through 8.
- The numbers less than 3 are 1 and 2. So, there are 2 favorable outcomes when rolling the die.
2. **Identify the possible outcomes for the spinner landing on red.**
- The spinner is equally likely to land on each color.
- Assuming there are several colors and only one of them is red, the probability of landing on red is 1 divided by the number of colors.
3. **Calculate the combined probability of both events occurring.**
- Use a tree diagram or multiplication rule to find the joint probability of both independent events happening.
- Joint Probability = (Probability of Rolling a Number Less Than 3) * (Probability of Spinner Landing on Red).
4. **Determine if the event is unusual.**
- Typically, an event with a probability close to 0 is considered unusual.
Use the information provided and any visual aids such as a tree diagram to aid in understanding and calculating the probability.
(Note: The actual probability value and the answer to whether it is unusual have to be calculated based on the number of colors in the spinner which is assumed to be available in your complete data set.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F690cfc63-1353-41b6-9fd1-6052f341a546%2F57e1ef92-9b60-4abb-b2fd-c7429b4b86b4%2Fcay9fwu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Experiment
A probability experiment consists of rolling an eight-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the given event and tell whether the event can be considered unusual.
**Event:** Rolling a number less than 3 and the spinner landing on red
---
**The probability of the event is:** [____]
(Type an integer or decimal rounded to three decimal places as needed.)
---
**Can the event be considered unusual?**
- A. No, because the probability is not close enough to 1.
- B. No, because the probability is not close enough to 0.
- C. Yes, because the probability is close enough to 0.
- D. Yes, because the probability is close enough to 1.
---
**Explanation:**
To determine the probability of this event, follow these steps:
1. **Identify the possible outcomes for rolling the eight-sided die.**
- The die has eight faces numbered 1 through 8.
- The numbers less than 3 are 1 and 2. So, there are 2 favorable outcomes when rolling the die.
2. **Identify the possible outcomes for the spinner landing on red.**
- The spinner is equally likely to land on each color.
- Assuming there are several colors and only one of them is red, the probability of landing on red is 1 divided by the number of colors.
3. **Calculate the combined probability of both events occurring.**
- Use a tree diagram or multiplication rule to find the joint probability of both independent events happening.
- Joint Probability = (Probability of Rolling a Number Less Than 3) * (Probability of Spinner Landing on Red).
4. **Determine if the event is unusual.**
- Typically, an event with a probability close to 0 is considered unusual.
Use the information provided and any visual aids such as a tree diagram to aid in understanding and calculating the probability.
(Note: The actual probability value and the answer to whether it is unusual have to be calculated based on the number of colors in the spinner which is assumed to be available in your complete data set.)
Here, you'll see a spinner divided into four equal sections, each of a different color. The sections are colored yellow, red, green, and blue. The black arrow in the center of the spinner represents the pointer that will indicate the result when the spinner is spun.
### Explanation
**Color Sections and Probability:**
- **Yellow Section:** Covers 1/4 of the spinner.
- **Red Section:** Covers 1/4 of the spinner.
- **Green Section:** Covers 1/4 of the spinner.
- **Blue Section:** Covers 1/4 of the spinner.
Each colored section represents an equal portion of the spinner, making the probability of landing on any one color equal to 1/4 or 25%.
**How it Works:**
When the spinner is spun, it can land on any one of the four colored sections. Since each section is of equal size, every section has an identical probability of being selected. The concept introduced here can be extended to more complex scenarios in probability and statistics.
This basic spinner is an excellent tool for understanding the basics of probability and random events. It serves as a foundation for deeper topics such as expected value, combinations, and permutations.
### Practical Exercise
**Exercise:**
1. Spin the spinner 20 times.
2. Record the number of times the arrow lands on each color.
3. Calculate the experimental probability for each color (number of times landed on color / total spins).
4. Compare the experimental probability with the theoretical probability (1/4).
### Conclusion
Understanding probability is essential, and tools like the probability spinner make learning interactive and straightforward. Through this practical exercise, students can grasp the fundamental principles and observe the difference between theoretical and experimental probabilities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F690cfc63-1353-41b6-9fd1-6052f341a546%2F57e1ef92-9b60-4abb-b2fd-c7429b4b86b4%2F6bw7dn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Content: Probability Spinner**
In this section, we explore the fundamental concepts of probability using a visual aid – a probability spinner.
### Probability Spinner Diagram
Here, you'll see a spinner divided into four equal sections, each of a different color. The sections are colored yellow, red, green, and blue. The black arrow in the center of the spinner represents the pointer that will indicate the result when the spinner is spun.
### Explanation
**Color Sections and Probability:**
- **Yellow Section:** Covers 1/4 of the spinner.
- **Red Section:** Covers 1/4 of the spinner.
- **Green Section:** Covers 1/4 of the spinner.
- **Blue Section:** Covers 1/4 of the spinner.
Each colored section represents an equal portion of the spinner, making the probability of landing on any one color equal to 1/4 or 25%.
**How it Works:**
When the spinner is spun, it can land on any one of the four colored sections. Since each section is of equal size, every section has an identical probability of being selected. The concept introduced here can be extended to more complex scenarios in probability and statistics.
This basic spinner is an excellent tool for understanding the basics of probability and random events. It serves as a foundation for deeper topics such as expected value, combinations, and permutations.
### Practical Exercise
**Exercise:**
1. Spin the spinner 20 times.
2. Record the number of times the arrow lands on each color.
3. Calculate the experimental probability for each color (number of times landed on color / total spins).
4. Compare the experimental probability with the theoretical probability (1/4).
### Conclusion
Understanding probability is essential, and tools like the probability spinner make learning interactive and straightforward. Through this practical exercise, students can grasp the fundamental principles and observe the difference between theoretical and experimental probabilities.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman