Q6. (a) The continuous random variable X has a probability density function given by 2 1 C 2 1< x<2 - f(x)=- x² 2 otherwise where c is a constant. (i) Show that c = 2. (ii) Find P X =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q6.
(a)
The continuous random variable X has a probability density function given by
2
1
1<x<2
-
f (x)=-
x? 2
otherwise
where c is a constant.
(i)
Show that c =2.
(ii)
Find P X =
Transcribed Image Text:Q6. (a) The continuous random variable X has a probability density function given by 2 1 1<x<2 - f (x)=- x? 2 otherwise where c is a constant. (i) Show that c =2. (ii) Find P X =
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