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Answer the following questions: f(x) 1871 0.0 0.2 0.4 0.6 0.8 1.0 10 T T 0 5 10 15 20 25 30 a. The graph above shows three gamma densities F(3,1), F(10,1) and F(1,1); Please identify which one is which. (Place your labels on the plots) b. Refer to question (a). Find the mean and the variance and the MGF of the three Gamma densities. c. Suppose that X follows the uniform distribution on (0, n). Find the mean and variance of X.

Answer the following questions: f(x) 1871 0.0 0.2 0.4 0.6 0.8 1.0 10 T T 0 5 10 15 20 25 30 a. The graph above shows three gamma densities F(3,1), F(10,1) and F(1,1); Please identify which one is which. (Place your labels on the plots) b. Refer to question (a). Find the mean and the variance and the MGF of the three Gamma densities. c. Suppose that X follows the uniform distribution on (0, n). Find the mean and variance of X.

MATLAB: An Introduction with Applications
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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0.0 0.2 f(x) 0.4 Answer the following questions: 90 0.8 1.0 T T T T T 5 10 15 20 25 30 X a. The graph above shows three gamma densities F(3,1), F(10,1) and F(1,1); Please identify which one is which. (Place your labels on the plots) b. Refer to question (a). Find the mean and the variance and the MGF of the three Gamma densities. c. Suppose that X follows the uniform distribution on (0, n). Find the mean and variance of X.
Transcribed Image Text:0.0 0.2 f(x) 0.4 Answer the following questions: 90 0.8 1.0 T T T T T 5 10 15 20 25 30 X a. The graph above shows three gamma densities F(3,1), F(10,1) and F(1,1); Please identify which one is which. (Place your labels on the plots) b. Refer to question (a). Find the mean and the variance and the MGF of the three Gamma densities. c. Suppose that X follows the uniform distribution on (0, n). Find the mean and variance of X.
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