EXERCISE 9 Answer the following questions: a. Let X - r(, B). Find the distribution of Y = using the method of cdf and the method of moment generating functions. b. Suppose X has the p.d.f. f(x) = 4r, 0 < a < 1. Use the method of edf to show that Y = -2ln.X follows a gamma distribution. What are the parameters of this gamma distribution?

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EXERCISE 9
Answer the following questions:
a. Let X - r(, B). Find the distribution of Y = X using the method of edf and the method of moment
generating functions.
b. Suppose X has the p.d.f. f(x) = 42, 0 < x < 1. Use the method of cdf to show that Y = -2ln.X
follows a gamma distribution. What are the parameters of this gamma distribution?
%3D
Transcribed Image Text:EXERCISE 9 Answer the following questions: a. Let X - r(, B). Find the distribution of Y = X using the method of edf and the method of moment generating functions. b. Suppose X has the p.d.f. f(x) = 42, 0 < x < 1. Use the method of cdf to show that Y = -2ln.X follows a gamma distribution. What are the parameters of this gamma distribution? %3D
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