Let X be a random variable with the following CDF: 글 + 1 (1-e-") 글+ 글(1- e-t) x >1 Fx(x) = 0 0.5), both using the CDF and using the PDF. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Let X be a random variable with the following CDF:
글 + 1 (1-e-")
글+ 글(1- e-t)
x >1
Fx(x) =
0 < x < 1
x < 0
a. What kind of random variable is X (discrete, continuous, or mixed)?
b. Find the (generalized) PDF of X.
c. Find P(X > 0.5), both using the CDF and using the PDF.
Transcribed Image Text:Let X be a random variable with the following CDF: 글 + 1 (1-e-") 글+ 글(1- e-t) x >1 Fx(x) = 0 < x < 1 x < 0 a. What kind of random variable is X (discrete, continuous, or mixed)? b. Find the (generalized) PDF of X. c. Find P(X > 0.5), both using the CDF and using the PDF.
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