Let X be a random variable with density function f(x) = { k(1-x²), ito ≤x≤1; otherwise. 12 Find k, together with the expectation and the variance of the random variable Y defined as Y = 3X - 1.
Let X be a random variable with density function f(x) = { k(1-x²), ito ≤x≤1; otherwise. 12 Find k, together with the expectation and the variance of the random variable Y defined as Y = 3X - 1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Let X be a random variable with density function
f(x) = { k(1-x²), if 0≤x≤ 1;
otherwise.
Find k, together with the expectation and the variance of the random
variable Y defined as Y = 3X - 1.
fand](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F066b0baa-53a5-4689-832a-50b7662df7d6%2Fb95175e9-c450-48b2-bc82-ff6a0c18dc45%2F2u5yuyy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X be a random variable with density function
f(x) = { k(1-x²), if 0≤x≤ 1;
otherwise.
Find k, together with the expectation and the variance of the random
variable Y defined as Y = 3X - 1.
fand
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