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.
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c25bf90-34a6-4bc8-9056-4d36c71f5aff%2Fa543d938-3e29-4059-bb2d-3bd0f5f4029c%2F175yr9_processed.jpeg&w=3840&q=75)
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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