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:**

Answered: Image /qna-images/answer/2b5d0702-76cb-467f-bef4-bdb94cb23882.jpg

Answered: A random variable X follows a Normal…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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: