The diameter of a round rock in a bucket, can be messured in mm and considered a random variable X in f(x)  f(x) = k(x-x4) if 0 ≤ x ≤ 1 f(x) = 0 otherwise. Find the expectation E(4X+ 3) and variance V(4X+3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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The diameter of a round rock in a bucket, can be messured in mm and considered a random variable X in f(x) 

f(x) = k(x-x4) if 0 ≤ x ≤ 1
f(x) = 0 otherwise.

Find the expectation E(4X+ 3) and variance V(4X+3) 

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