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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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I need B answer
![The image depicts a section of an educational webpage, likely focused on probability or statistics, displayed on a laptop with a visible purple pen lying on the keyboard. The screen is oriented upside-down in the image. Below is a detailed transcript and description of all visible elements, adapted as if for an educational website:
---
### Understanding Probability Distributions
**Practice Problem:**
Use the table of probabilities on this page to answer the questions that follow.
**Question:**
Select the correct choice below and fill in the answer box within your choice:
**Random Variable Definition:** The random variable \(Y\) represents the number of major hurricanes in a certain region within a year.
| \(Y\) | \(P(Y = y)\) |
|------|-------------|
| 0 | 0.1 |
| 1 | 0.2 |
| 2 | 0.3 |
| 3 | 0.25 |
| 4 | 0.1 |
| 5 | 0.05 |
1. **Calculate the Mean (Expected Value)**:
\( E[Y] = \sum (Y \cdot P(Y = y)) \)
2. **Calculate the Variance**:
\[
Var(Y) = E[Y^2] - (E[Y])^2
\]
3. **Calculate the Standard Deviation**:
\( SD(Y) = \sqrt{Var(Y)} \)
**Options:**
- (A) The calculation for the mean:
\[ E[Y] = \sum Y \cdot P(Y) = ? \]
* Enter your choice and calculation.
- (B) The calculation for the variance:
\[ Var(Y) = ? \]
* Enter your choice and calculation.
- (C) The calculation for the standard deviation:
\[ SD(Y) = ? \]
* Enter your choice and calculation.
**Tips and Tricks:**
For additional help, you can:
- View an example by selecting "Get more help."
- Review the exact sample problems to solidify your understanding.
**Button Options:**
- [Check Answer]
- [Clear All]
---
**Graphical Representation:**
The data provided can be visualized using a bar graph where the \(x\)-axis represents the number of major hurricanes (Y) and the \(y\)-axis shows the probability of each event (\(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02ebb731-29eb-4cd6-ba2a-cc2ff28bf3c8%2F6dfeab2f-d57d-43da-87c8-832edf5c9165%2Fiq4mb4j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image depicts a section of an educational webpage, likely focused on probability or statistics, displayed on a laptop with a visible purple pen lying on the keyboard. The screen is oriented upside-down in the image. Below is a detailed transcript and description of all visible elements, adapted as if for an educational website:
---
### Understanding Probability Distributions
**Practice Problem:**
Use the table of probabilities on this page to answer the questions that follow.
**Question:**
Select the correct choice below and fill in the answer box within your choice:
**Random Variable Definition:** The random variable \(Y\) represents the number of major hurricanes in a certain region within a year.
| \(Y\) | \(P(Y = y)\) |
|------|-------------|
| 0 | 0.1 |
| 1 | 0.2 |
| 2 | 0.3 |
| 3 | 0.25 |
| 4 | 0.1 |
| 5 | 0.05 |
1. **Calculate the Mean (Expected Value)**:
\( E[Y] = \sum (Y \cdot P(Y = y)) \)
2. **Calculate the Variance**:
\[
Var(Y) = E[Y^2] - (E[Y])^2
\]
3. **Calculate the Standard Deviation**:
\( SD(Y) = \sqrt{Var(Y)} \)
**Options:**
- (A) The calculation for the mean:
\[ E[Y] = \sum Y \cdot P(Y) = ? \]
* Enter your choice and calculation.
- (B) The calculation for the variance:
\[ Var(Y) = ? \]
* Enter your choice and calculation.
- (C) The calculation for the standard deviation:
\[ SD(Y) = ? \]
* Enter your choice and calculation.
**Tips and Tricks:**
For additional help, you can:
- View an example by selecting "Get more help."
- Review the exact sample problems to solidify your understanding.
**Button Options:**
- [Check Answer]
- [Clear All]
---
**Graphical Representation:**
The data provided can be visualized using a bar graph where the \(x\)-axis represents the number of major hurricanes (Y) and the \(y\)-axis shows the probability of each event (\(
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