Find the cumulative distribution function (C.D.F) of a random variable Y, whose probability density 0 ≤ y ≤ 1 ZIN

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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Find the cumulative distribution function (C.D.F) of a random variable Y, whose probability density
0 ≤ y ≤ 1
function is given by f(x) = {
IN FIN
2'
1
3-y
2
0,
1 ≤ y ≤2
2 ≤ y ≤ 3
elsewhere
6. Find the cumulative distribution function (C.D.F) of a random variable Y, whose prob-
ability density function is given by
f(y) =
=
Y
21
C
1
0 ≤ y ≤1
1≤ y ≤2
2,
3-y
2
2≤ y ≤3
0, elsewhere
1
Transcribed Image Text:Find the cumulative distribution function (C.D.F) of a random variable Y, whose probability density 0 ≤ y ≤ 1 function is given by f(x) = { IN FIN 2' 1 3-y 2 0, 1 ≤ y ≤2 2 ≤ y ≤ 3 elsewhere 6. Find the cumulative distribution function (C.D.F) of a random variable Y, whose prob- ability density function is given by f(y) = = Y 21 C 1 0 ≤ y ≤1 1≤ y ≤2 2, 3-y 2 2≤ y ≤3 0, elsewhere 1
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