Let the random variable Y possess a uniform distribution on the interval (0, a). a. Use the transformation method to find the pdf (probability density function) of the random variable W= Y^2. b. Show that is a = 1 then W~beta(1/2 ,1) b. Find the cdf (probability distribution) of W=

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ull MTNSA Go Big Go Boz...
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22 February 2022 at 22:01
Let the random variable Y possess a uniform
distribution on the interval (0, a).
a. Use the transformation method to find the
pdf (probability density function) of the
random variable W= Y^2.
b. Show that is a = 1 then W~beta(1/2 ,1)
b. Find the cdf (probability distribution) of W=
Y^2.
Transcribed Image Text:ull MTNSA Go Big Go Boz... 22:01 © 39% K Notes 22 February 2022 at 22:01 Let the random variable Y possess a uniform distribution on the interval (0, a). a. Use the transformation method to find the pdf (probability density function) of the random variable W= Y^2. b. Show that is a = 1 then W~beta(1/2 ,1) b. Find the cdf (probability distribution) of W= Y^2.
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