3b) Find the cumulative distribution funetion, F(g)= P(Ys 3),

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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please answer the question in the attached picture with work shown, thanks!

#3

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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