et X be a random variable with cumulative distribution function x < 0 Fx(x) = 5 16 a4 + r5 0 2. Vhich of the following are valid probability density functions of X? Note: there may be multiple correct options, select all correct options.) 15 x² 15 „4 0 < x < 2 - fx(x) = elsewhere fx(x) = 1624 3 S – * + a® 0
et X be a random variable with cumulative distribution function x < 0 Fx(x) = 5 16 a4 + r5 0 2. Vhich of the following are valid probability density functions of X? Note: there may be multiple correct options, select all correct options.) 15 x² 15 „4 0 < x < 2 - fx(x) = elsewhere fx(x) = 1624 3 S – * + a® 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question
Transcribed Image Text:Let X be a random variable with cumulative distribution function
ㅇ
x < 0
15 .4
16
Fx(x) =
5 „3
x* +
16
3
5
0 < x < 2
1
x > 2.
Which of the following are valid probability density functions of X?
(Note: there may be multiple correct options, select all correct options.)
x? - 3 + xª 0 <x < 2
15
.4
15 x* 0 <x < 2
fx(x) =
elsewhere
– +6 0 <x < 2
3
.4
x6 0<x < 2
16
-
fx(x) =
elsewhere
x < 0
fx(x) =
16t
oad-유z4 + a6 0<z<2
9x6 0<x < 2
x > 2
fx(x) = Fa² – Ha3+
15
x° +
15 „4
16X
for all x
-
x < 0
P? - 3 + 0< x < 2
15
.4
fx(x) =
16
1
x > 2
Sa2 - Fa3 + x4
15
16
0 < x < 2
fx(x) =
elsewhere
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