2. The diameter of an electric cable X is assumed to be a continuous random variable kx (1-x), 0≤x≤1 0, otherwise with pdf f(x) = (a) Find k. (b) Obtain an expression (c) Compute P(x < // < x < for the cdf of a.

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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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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2. The diameter of an electric cable X is assumed to be a continuous random variable
Skæ(1-x), 0≤x≤1
0,
otherwise
with pdf f(x) =
=
(a) Find k.
(b) Obtain an expression for the cdf of x.
(c) Compute P(x < // < x <
(d) Determine b so that P(x < b) = 2P(x > b)
Transcribed Image Text:2. The diameter of an electric cable X is assumed to be a continuous random variable Skæ(1-x), 0≤x≤1 0, otherwise with pdf f(x) = = (a) Find k. (b) Obtain an expression for the cdf of x. (c) Compute P(x < // < x < (d) Determine b so that P(x < b) = 2P(x > b)
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