if x 2 1, Let {x2 0, if x < 1. Show that f is a probability density function and that the distribution has no mean.

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.
Chapter1: Functions
Section1.2: The Least Square Line
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Saif x > 1,
Let {x²
0, if x < 1.
Show that fis a probability density function and that the distribution has no mean.
A pdf is given by
2
2n
cos (x -). 0
IT
f (x) :
,0 <x <
3
CO
Show that this is a valid pdf and then find P(X<1).
Transcribed Image Text:Saif x > 1, Let {x² 0, if x < 1. Show that fis a probability density function and that the distribution has no mean. A pdf is given by 2 2n cos (x -). 0 IT f (x) : ,0 <x < 3 CO Show that this is a valid pdf and then find P(X<1).
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