2. The diameter of an electric cable X is assumed to be a continuous random variableSkæ(1-x), 0≤x≤10,otherwisewith 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)

(a) Since you have posted a question with multiple sub-parts, we will solve first three sub- parts…

Answered: 2. The diameter of an electric cable X…

A First Course in Probability (10th Edition)

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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 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.