The continuous random variable X has a the following probability density function: p(x) = ) - {² (1-4) KISA |=| > A' where A> 0 is a constant. (a) Sketch p(x). (b) Show that p(z) is a proper probability density function. (e) Find Pr(z ≤ 1) as a function of A and evaluate this in the case of λ = 2.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The continuous random variable X has a the following probability density function:
p(x) =
- {² (1-4) LISA,
|I|> A'
where A> 0 is a constant.
(a) Sketch p(x).
(b) Show that p(x) is a proper probability density function.
(c) Find Pr(x ≤ 1) as a function of A and evaluate this in the case of λ = 2.
Transcribed Image Text:The continuous random variable X has a the following probability density function: p(x) = - {² (1-4) LISA, |I|> A' where A> 0 is a constant. (a) Sketch p(x). (b) Show that p(x) is a proper probability density function. (c) Find Pr(x ≤ 1) as a function of A and evaluate this in the case of λ = 2.
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