Problem 1: 1- Plot the p.d.f of Gamma(2, 2) and Gamma(3, 2) in the same plot. 2- Generate 1000 numbers from X~ Gamma(2, 2), and 1000 numbers from Y Gamma(3, 2). 3- Calculate W X+Y and plot the histogram of W. %3D

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Problem 1:
1- Plot the p.d.f of Gamma (2, 2) and Gamma(3, 2) in the same plot.
2- Generate 1000 numbers from X~ Gamma(2, 2), and 1000 numbers from Y~
3- Calculate W =
Xy, and plot the histogram of W.
X+Y¹
4- Compute the mean, the variance and the quartiles of Z.
6- Determine the distribution of W.
Gamma (3,2).
Transcribed Image Text:Problem 1: 1- Plot the p.d.f of Gamma (2, 2) and Gamma(3, 2) in the same plot. 2- Generate 1000 numbers from X~ Gamma(2, 2), and 1000 numbers from Y~ 3- Calculate W = Xy, and plot the histogram of W. X+Y¹ 4- Compute the mean, the variance and the quartiles of Z. 6- Determine the distribution of W. Gamma (3,2).
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