Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) OA. The average number of major hurricanes per year is OB. The most common number of major hurricanes per year is OC. Every year will have at least hurricane(s). b. Obtain the standard deviation of the random variable. G= =(Round to three decimal places as needed.) c. Draw a probability histogram for the random variable. Choose the correct graph below. 0 0 0 0 0 0 0 0 Click here to view histogram a Click here to view histogram d. Click here to view histogram b Click here to view histogram c. hurricane(s). The mean is The one-standard-deviation interval is (Type integers or decimals hurricane(s). the two-standard-deviation interval is
Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) OA. The average number of major hurricanes per year is OB. The most common number of major hurricanes per year is OC. Every year will have at least hurricane(s). b. Obtain the standard deviation of the random variable. G= =(Round to three decimal places as needed.) c. Draw a probability histogram for the random variable. Choose the correct graph below. 0 0 0 0 0 0 0 0 Click here to view histogram a Click here to view histogram d. Click here to view histogram b Click here to view histogram c. hurricane(s). The mean is The one-standard-deviation interval is (Type integers or decimals hurricane(s). the two-standard-deviation interval is
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
Transcribed Image Text:### Distribution of Major Hurricanes
The table below displays the probabilities associated with different numbers of major hurricanes:
| y | P(Y = y) |
|----|----------|
| 0 | 0.182 |
| 1 | 0.299 |
| 2 | 0.244 |
| 3 | 0.082 |
| 4 | 0.033 |
| 5 | 0.059 |
| 6 | 0.023 |
| 7 | 0.013 |
| 8 | 0.065 |
**Explanation:**
- **y** represents the number of major hurricanes.
- **P(Y = y)** denotes the probability of having y major hurricanes in a particular period.
This table is used to understand the likelihood of different scenarios regarding the occurrence of major hurricanes. The probabilities are helpful for predicting weather patterns, resource allocation, and risk management.
**Note:** The "Print" and "Done" buttons suggest that this table may be part of an interactive or printable resource on the educational website.
![### Understanding and Calculating the Mean of a Random Variable
#### Task 5: Finding and Interpreting the Mean
**Objective:**
Calculate and interpret the mean (\(\mu\)) of a random variable associated with the occurrence of major hurricanes per year.
**Instructions:**
1. **Find the Mean:**
- Round your answer to three decimal places as needed and fill it in the provided blank spaces.
2. **Interpret the Mean:**
- Choose the correct interpretation by marking the appropriate option:
- **Option A:** The average number of major hurricanes per year is [ ] hurricane(s).
- **Option B:** The most common number of major hurricanes per year is [ ] hurricane(s).
- **Option C:** Every year will have at least [ ] hurricane(s).
3. **Determine the Standard Deviation (σ):**
- Calculate the standard deviation (σ) and write your answer, rounded to three decimal places, in the given space.
4. **Visualizing with Histograms:**
- Create or identify the correct probability histogram for the random variable.
- Choose from the links below by selecting the associated radio button:
- Clickable options provide access to different histogram views:
- **Histogram a**
- **Histogram b**
- **Histogram c**
- **Histogram d**
5. **Understanding the Distribution:**
- Based on your calculation of the mean (\(\mu\)) and standard deviation (σ), determine the intervals for:
- One-standard-deviation interval: [__, __]
- Two-standard-deviation interval: [__, __]
- Three-standard-deviation interval: [__, __]
**Note:** Enter only numbers or decimals rounded to three decimal places as necessary. Ensure values are ordered in ascending order when specifying intervals.
By following these steps, you will gain a deeper understanding of how to calculate and interpret the mean and standard deviation of random variables, particularly in the context of hurricane occurrences.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8da5c625-81d8-4db3-9f61-2b28dd7af5ea%2F5feb6433-e94c-42af-b78c-09103e5867cb%2Fl1otro6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding and Calculating the Mean of a Random Variable
#### Task 5: Finding and Interpreting the Mean
**Objective:**
Calculate and interpret the mean (\(\mu\)) of a random variable associated with the occurrence of major hurricanes per year.
**Instructions:**
1. **Find the Mean:**
- Round your answer to three decimal places as needed and fill it in the provided blank spaces.
2. **Interpret the Mean:**
- Choose the correct interpretation by marking the appropriate option:
- **Option A:** The average number of major hurricanes per year is [ ] hurricane(s).
- **Option B:** The most common number of major hurricanes per year is [ ] hurricane(s).
- **Option C:** Every year will have at least [ ] hurricane(s).
3. **Determine the Standard Deviation (σ):**
- Calculate the standard deviation (σ) and write your answer, rounded to three decimal places, in the given space.
4. **Visualizing with Histograms:**
- Create or identify the correct probability histogram for the random variable.
- Choose from the links below by selecting the associated radio button:
- Clickable options provide access to different histogram views:
- **Histogram a**
- **Histogram b**
- **Histogram c**
- **Histogram d**
5. **Understanding the Distribution:**
- Based on your calculation of the mean (\(\mu\)) and standard deviation (σ), determine the intervals for:
- One-standard-deviation interval: [__, __]
- Two-standard-deviation interval: [__, __]
- Three-standard-deviation interval: [__, __]
**Note:** Enter only numbers or decimals rounded to three decimal places as necessary. Ensure values are ordered in ascending order when specifying intervals.
By following these steps, you will gain a deeper understanding of how to calculate and interpret the mean and standard deviation of random variables, particularly in the context of hurricane occurrences.
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