Let Y have probability density function fY (y) = 2( y) 2 , 0 < y < , 0, elsewhere. a
Chapter 8, Problem 8.44(choose chapter or problem)
Let Y have probability density function fY (y) = 2( y) 2 , 0 < y < , 0, elsewhere. a Show that Y has distribution function FY (y) = 0, y 0, 2y y2 2 , 0 < y < , 1, y . b Show that Y/ is a pivotal quantity. c Use the pivotal quantity from part (b) to find a 90% lower confidence limit for .
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