Question 7 M 0.3 Suppose the moment generating function for a random variable X is Mx(t) = 0.3 -t Let Y = 0.90X – 9. Determine the moment generating function of Y. 0.3 -9t A 0.3 -t 0.3 9t 0.3 -t в 0.3 -0.3t e 0.3 -t 1 -9t D 1- 3t
Question 7 M 0.3 Suppose the moment generating function for a random variable X is Mx(t) = 0.3 -t Let Y = 0.90X – 9. Determine the moment generating function of Y. 0.3 -9t A 0.3 -t 0.3 9t 0.3 -t в 0.3 -0.3t e 0.3 -t 1 -9t D 1- 3t
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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![**Question 7**
Suppose the moment generating function for a random variable \( X \) is given by:
\[ M_X(t) = \frac{0.3}{0.3 - t} \]
Let \( Y = 0.9X - 9 \).
Determine the moment generating function of \( Y \).
**Options:**
- **A:** \(\frac{0.3}{0.3 - t} e^{-9t}\)
- **B:** \(\frac{0.3}{0.3 - t} e^{9t}\)
- **C:** \(\frac{0.3}{0.3 - t} e^{-0.3t}\)
- **D:** \(\frac{1}{1 - 3t} e^{-9t}\)
- **E:** \(\frac{1}{1 - 3t} e^{9t}\)
This question involves determining the moment generating function of the transformed variable \( Y \) based on the given function for \( X \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeb81122-6fbf-4c63-aaf5-71689ff4fea7%2F1065e284-64c7-44aa-8816-ac9cf1f8aafc%2Fy31h2at_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 7**
Suppose the moment generating function for a random variable \( X \) is given by:
\[ M_X(t) = \frac{0.3}{0.3 - t} \]
Let \( Y = 0.9X - 9 \).
Determine the moment generating function of \( Y \).
**Options:**
- **A:** \(\frac{0.3}{0.3 - t} e^{-9t}\)
- **B:** \(\frac{0.3}{0.3 - t} e^{9t}\)
- **C:** \(\frac{0.3}{0.3 - t} e^{-0.3t}\)
- **D:** \(\frac{1}{1 - 3t} e^{-9t}\)
- **E:** \(\frac{1}{1 - 3t} e^{9t}\)
This question involves determining the moment generating function of the transformed variable \( Y \) based on the given function for \( X \).
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