(7) Find the variance of XX when XX is Exp(λ)Exp(λ). The correct answer is 1/λ1/λ 2/λ2/λ 2/λ22/λ2 1/λ21/λ2 None of the above N/A (Select One) (8) Find the variance of XX when XX is distributed as N(0,1)N(0,1). The correct answer is 00 −1−1 11 22 −2−2 N/A (Select One)
(7) Find the variance of XX when XX is Exp(λ)Exp(λ). The correct answer is 1/λ1/λ 2/λ2/λ 2/λ22/λ2 1/λ21/λ2 None of the above N/A (Select One) (8) Find the variance of XX when XX is distributed as N(0,1)N(0,1). The correct answer is 00 −1−1 11 22 −2−2 N/A (Select One)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
(7) Find the variance of XX when XX is Exp(λ)Exp(λ).
The correct answer is
1/λ1/λ | 2/λ2/λ | 2/λ22/λ2 | 1/λ21/λ2 | None of the above | N/A | ||
(Select One) |
(8) Find the variance of XX when XX is distributed as N(0,1)N(0,1).
The correct answer is
00 | −1−1 | 11 | 22 | −2−2 | N/A | ||
(Select One) |
![**Exercise Questions**
**(7)** Find the variance of \( X \) when \( X \) is \( \text{Exp}(\lambda) \).
- The correct answer is:
- \( \frac{1}{\lambda} \)
- \( \frac{2}{\lambda} \)
- \( \frac{2}{\lambda^2} \)
- \( \frac{1}{\lambda^2} \)
- None of the above
- N/A (Selected)
**(8)** Find the variance of \( X \) when \( X \) is distributed as \( N(0, 1) \).
- The correct answer is:
- 0
- \(-1\)
- 1
- 2
- \(-2\)
- N/A (Selected)
**(9)** Find \( \text{Std}(X) \) when \( X \) is a continuous random variable with the following given density.
(i) \( f(x) = 2(1-x) \), on \([0, 1]\),
(iii) \( f(x) = 0.01e^{-0.01x} \), on \([0, \infty)\),
(v) \( f(x) = 3/x^4 \), on \([1, \infty)\),
(vii) \( f(x) = \frac{3xe^{-x}}{2} \), on \([0, \infty)\),
(ix) \( f(x) = \frac{1}{2} \sin x \), on \((0, \pi)\),
- The correct answer is:
- 1
- \( \frac{1}{18} \)
- 18
- \( (18)^{-1/2} \)
- None of the above
- N/A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F421db798-cca4-4efb-a6a9-3775d86708c7%2Fee417a9e-478c-4c11-a143-fcc1557cbccc%2F4nwyvdo_processed.png&w=3840&q=75)
Transcribed Image Text:**Exercise Questions**
**(7)** Find the variance of \( X \) when \( X \) is \( \text{Exp}(\lambda) \).
- The correct answer is:
- \( \frac{1}{\lambda} \)
- \( \frac{2}{\lambda} \)
- \( \frac{2}{\lambda^2} \)
- \( \frac{1}{\lambda^2} \)
- None of the above
- N/A (Selected)
**(8)** Find the variance of \( X \) when \( X \) is distributed as \( N(0, 1) \).
- The correct answer is:
- 0
- \(-1\)
- 1
- 2
- \(-2\)
- N/A (Selected)
**(9)** Find \( \text{Std}(X) \) when \( X \) is a continuous random variable with the following given density.
(i) \( f(x) = 2(1-x) \), on \([0, 1]\),
(iii) \( f(x) = 0.01e^{-0.01x} \), on \([0, \infty)\),
(v) \( f(x) = 3/x^4 \), on \([1, \infty)\),
(vii) \( f(x) = \frac{3xe^{-x}}{2} \), on \([0, \infty)\),
(ix) \( f(x) = \frac{1}{2} \sin x \), on \((0, \pi)\),
- The correct answer is:
- 1
- \( \frac{1}{18} \)
- 18
- \( (18)^{-1/2} \)
- None of the above
- N/A
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