1. Suppose r is a random variable with density function k f(x) : (1+ x)2' = 0, elsewhere I > 0 %3D (i) Find the value of k. (ii) Find F(x) (iii) Find P(x < 1)
1. Suppose r is a random variable with density function k f(x) : (1+ x)2' = 0, elsewhere I > 0 %3D (i) Find the value of k. (ii) Find F(x) (iii) Find P(x < 1)
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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Transcribed Image Text:1. Suppose r is a random variable with density function
f(r) =
k
;x>0
(1+x)2*
= 0, elsewhere
%3D
(i) Find the value of k.
(ii) Find F(x)
(iii) Find P(r < 1)
( iu) Find Ρ(r> 1)
2. Suppose
1
f(r):
; a <r<b
= 0, elsewhere
(i) Find k.
(ii) Find F(x)
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