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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff738ced-0f3b-412d-a4c4-f5aff119d8b9%2F97ba52d7-5bcf-447e-af2b-b8ba15758293%2Fmq7ebkn_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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