A 5 P(X) 0.05 0.1 4 Send data to Excel 6 7 8 9 0.3 0.1 0.15 0.3 Find the mean. Do not round your answer. Mean: u = 7.1 Find the variance. Round your answer to one decimal place as needed. 8² Variance: = 2.8 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
**Probability Distribution Table**

| \( X \) | 4   | 5   | 6   | 7   | 8    | 9    |
|---------|-----|-----|-----|-----|------|------|
| \( P(X) \) | 0.05 | 0.1 | 0.3 | 0.1 | 0.15 | 0.3 |

---

**Instructions:**

- **Send data to Excel:** This function allows users to export the data into an Excel spreadsheet for further analysis.

---

**Calculations:**

1. **Find the Mean:**
   - **Instruction:** Do not round your answer.
   - **Result:** Mean \( \mu = 7.1 \)

2. **Find the Variance:**
   - **Instruction:** Round your answer to one decimal place as needed.
   - **Result:** Variance \( \sigma^2 = 2.8 \) 

This content provides insight into how to calculate and interpret the mean and variance in the context of a probability distribution.
Transcribed Image Text:**Probability Distribution Table** | \( X \) | 4 | 5 | 6 | 7 | 8 | 9 | |---------|-----|-----|-----|-----|------|------| | \( P(X) \) | 0.05 | 0.1 | 0.3 | 0.1 | 0.15 | 0.3 | --- **Instructions:** - **Send data to Excel:** This function allows users to export the data into an Excel spreadsheet for further analysis. --- **Calculations:** 1. **Find the Mean:** - **Instruction:** Do not round your answer. - **Result:** Mean \( \mu = 7.1 \) 2. **Find the Variance:** - **Instruction:** Round your answer to one decimal place as needed. - **Result:** Variance \( \sigma^2 = 2.8 \) This content provides insight into how to calculate and interpret the mean and variance in the context of a probability distribution.
Expert Solution
Step 1

Sol:-

Mean:-

In order to find the mean (expectation) of the given distribution, we will use the following formula:μ=ixi*pxiSo, first we need to multiply each value of X by each probability P(X), then add these results together. μ=4*0.05+5*0.1+6*0.3+7*0.1+8*0.15+9*0.3=7.1μ=7.1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,