A random variable X follows a Normal distribution with mean u 38 and standard deviation o = = 2. Which of the following gives the expectation E(X²)? A. 1444 B. 1448 C. 1600 D. 1440 E. Insufficient information to calculate E(X²) Solution:

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
A random variable \( X \) follows a Normal distribution with mean \( \mu = 38 \) and standard deviation \( \sigma = 2 \).

Which of the following gives the expectation \( E(X^2) \)?

- A. 1444
- B. 1448
- C. 1600
- D. 1440
- E. Insufficient information to calculate \( E(X^2) \)

**Solution:**
Transcribed Image Text:A random variable \( X \) follows a Normal distribution with mean \( \mu = 38 \) and standard deviation \( \sigma = 2 \). Which of the following gives the expectation \( E(X^2) \)? - A. 1444 - B. 1448 - C. 1600 - D. 1440 - E. Insufficient information to calculate \( E(X^2) \) **Solution:**
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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,