c) A continuous random variable X has the following probability density function. - {kx(3 – x), 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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c)
A continuous random variable X has the following probability density function.
ſkx(3 – x),
f(x) =
10,
0<x< 3
|
otherwise
where k is a constant.
2
Show that k
9.
i)
%3D
ii)
Find P
< X<
iii)
Calculate E(X).
(-
9
iv) Find V(3X-4) if V(X)=
20
Transcribed Image Text:c) A continuous random variable X has the following probability density function. ſkx(3 – x), f(x) = 10, 0<x< 3 | otherwise where k is a constant. 2 Show that k 9. i) %3D ii) Find P < X< iii) Calculate E(X). (- 9 iv) Find V(3X-4) if V(X)= 20
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