P.17 A continuous random variable Y has pdf bisa Sono had vodi blaz R2, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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P.17 A continuous random variable Y has pdf
bisa sono had yod blaz Rt.
(mam wolf" boses namow borne0? 10
noitalugon ori2y
f(x) =
0
0<<1
otherwise alt vtilidsdong adi
a. Sketch the pdf.
a batooloa vimobasy a usdi yilidadan
b. Find the cdf, F(y) = P(Y ≤y) and sketch it. [Hint: Requires calculus.]
c. Use the pdf and a geometric argument to find the probability P(Y≤ 1/2).
Transcribed Image Text:P.17 A continuous random variable Y has pdf bisa sono had yod blaz Rt. (mam wolf" boses namow borne0? 10 noitalugon ori2y f(x) = 0 0<<1 otherwise alt vtilidsdong adi a. Sketch the pdf. a batooloa vimobasy a usdi yilidadan b. Find the cdf, F(y) = P(Y ≤y) and sketch it. [Hint: Requires calculus.] c. Use the pdf and a geometric argument to find the probability P(Y≤ 1/2).
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