Suppose that a random variable X has PDF defined by fx(x): = a(1+x) a(1-x) 0 if −1 < x < 0 if 0 b] = / P[X ≤ b].

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
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PDF and CDF

Suppose that a random variable X has PDF defined by
ƒx(x) =
a(1+x)
a(1-x)
0
if − 1 ≤ x ≤0
if 0<x< 1
otherwise.
a) What does the value of a need to be to make fx a probability distribution? Plot fx for this value.
b) Find and plot Fx.
c) Find b such that P[X > b] = ½ P[X ≤ b].
Transcribed Image Text:Suppose that a random variable X has PDF defined by ƒx(x) = a(1+x) a(1-x) 0 if − 1 ≤ x ≤0 if 0<x< 1 otherwise. a) What does the value of a need to be to make fx a probability distribution? Plot fx for this value. b) Find and plot Fx. c) Find b such that P[X > b] = ½ P[X ≤ b].
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