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A continuous random variable, Y, has the probability density 3. function (pds) Zy, if ocy

A continuous random variable, Y, has the probability density 3. function (pds) Zy, if ocy

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer the question in the attached picture with work shown, thanks!

#3 D,E,F

A continuous random variable, Y, has the probability density function (pds) { Zy, if o<yal f(8)= otherwise 3a) Sketch the pdf. 3 b) Find the cumulative distribution function, F(g) = P(Ys }), dnd sketch it. 3c) Use the pdf and a probability P(Y6 Y2). geometrie drgument to find the 3d) Use the edf fromn part (b) to compute PCYLŹ) Be) Use the bdf dnd a drgument to find the probobility P(4 sYs ). 3f) Vse the cdf from part (b) to compute P(t E YE (そう 3.
Transcribed Image Text:A continuous random variable, Y, has the probability density function (pds) { Zy, if o<yal f(8)= otherwise 3a) Sketch the pdf. 3 b) Find the cumulative distribution function, F(g) = P(Ys }), dnd sketch it. 3c) Use the pdf and a probability P(Y6 Y2). geometrie drgument to find the 3d) Use the edf fromn part (b) to compute PCYLŹ) Be) Use the bdf dnd a drgument to find the probobility P(4 sYs ). 3f) Vse the cdf from part (b) to compute P(t E YE (そう 3.
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