Answered: Q. 6 The percentage of impurities per…

Q. 6 The percentage of impurities per batch in a chemical product is a random variable X with density function fx(x) =12x² (1–x); 0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 11E: A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into...

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Question

Q. 6 The percentage of impurities per batch in a chemical product is a random variable X
with density function fx(x)=12x² (1–x); 0<x<1
A batch with more than 40% impurities cannot be sold.
(a) Integrate the density directly to determine the probability that a randomly selected batch
cannot be sold because of excessive impurities.
(b) Find the mean and variance of the percentage of impurities in a randomly selected batch
of the chemical.

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