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(X) and variance V(X)

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(X) and variance V(X)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 35E

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Question

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(X) and variance V(X)

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