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 ≤ 1f(x) = 0 otherwise.determine the constant k such that the set is valid.

Given,f(x)=k(x-x4) ; 0≤X≤10 ; other wise

Answered: The diameter of a round rock in a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.4: Definition Of Function

Problem 56E

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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.

determine the constant k such that the set is valid.

Expert Solution

Step 1

$G i v e n, f (x) = \{\begin{cases} k (x - x^{4}); 0 \leq X \leq 1 \\ 0; o t h e r w i s e \end{cases}$

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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. determine the constant k such that the set is valid.