A firm purchases two types of industrial chemicals. Type I chemical costs $3 per gallon, whereas type II costs $5 per gallon. The mean and variance for the number of gallons of type I chemical purchased, Y, are 40 and 4, respectively. The amount of type II chemical purchased, Y2, has E(Y2) = 65 gallons and V(Y2) = 8. Assume that Y, and Y2 are independent and find the mean and variance of the total amount of money spent per week on the two chemicals.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A firm purchases two types of industrial chemicals. Type I chemical costs $3 per gallon,
whereas type II costs $5 per gallon. The mean and variance for the number of gallons of type
I chemical purchased, Y,, are 40 and 4, respectively. The amount of type II chemical
purchased, Y2, has E(Y2) = 65 gallons and V(Y2) = 8. Assume that Y, and Y2 are independent
and find the mean and variance of the total amount of money spent per week on the two
chemicals.
Transcribed Image Text:A firm purchases two types of industrial chemicals. Type I chemical costs $3 per gallon, whereas type II costs $5 per gallon. The mean and variance for the number of gallons of type I chemical purchased, Y,, are 40 and 4, respectively. The amount of type II chemical purchased, Y2, has E(Y2) = 65 gallons and V(Y2) = 8. Assume that Y, and Y2 are independent and find the mean and variance of the total amount of money spent per week on the two chemicals.
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