Consider a random variable X having the following pdf fx(x) = 252x6 - 504x7 + 252x8, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Consider a random variable X having the following pdf
fx(x) = 252x6 - 504x7 + 252x8, 0<x<1
and corresponding corresponding cdf over the interval from 0 to 1:
Fx(x) = 36x - 63x8 + 28x°, 0<x<1
What is the probability the random variable is between 0.6 and 0.8?
P( 0.6 < X < 0.8) =
Express your answer as a proportion rounded to 4 decimal places.
Transcribed Image Text:Consider a random variable X having the following pdf fx(x) = 252x6 - 504x7 + 252x8, 0<x<1 and corresponding corresponding cdf over the interval from 0 to 1: Fx(x) = 36x - 63x8 + 28x°, 0<x<1 What is the probability the random variable is between 0.6 and 0.8? P( 0.6 < X < 0.8) = Express your answer as a proportion rounded to 4 decimal places.
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