Consider a random variable X having the following pdf fy(x) = 252x6 - 504x7 + 252x8, O

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Consider a random variable X having the following pdf
fy(x) = 252x6 - 504x7 + 252x8, O<x<1
Through factoring, we can express the pdf of the random variable X a
fx(x) = 252 x6 (1-x)², 0<x<1
This pdf belongs to the beta distribution family of pdfs.
What are the parameters?
α
B =
and what is the probability on the number 0.4?
P(X = 0.4 ) =
||
Transcribed Image Text:Consider a random variable X having the following pdf fy(x) = 252x6 - 504x7 + 252x8, O<x<1 Through factoring, we can express the pdf of the random variable X a fx(x) = 252 x6 (1-x)², 0<x<1 This pdf belongs to the beta distribution family of pdfs. What are the parameters? α B = and what is the probability on the number 0.4? P(X = 0.4 ) = ||
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