A gas station earns $2.500 in revenue for each gallon of regular gas it sells, $2.550 for each gallon of midgrade gas, and $2.600 for each gallon of premium gas. Let X1, X2, and X3 denote the numbers of gallons of regular, midgrade, and premium gasoline sold in a day. Assume that X1, X2, and X3 have means μ1=1500, μ2=500, and μ3=300, and standard deviations σ1=180, σ2=90, and σ3=40, respectively.1) Find the mean daily revenue. 2) Assuming X1, X2, and X3 to be independent, find the standard deviation of the daily revenue. (Round the final answer to three decimal places.)
A gas station earns $2.500 in revenue for each gallon of regular gas it sells, $2.550 for each gallon of midgrade gas, and $2.600 for each gallon of premium gas. Let X1, X2, and X3 denote the numbers of gallons of regular, midgrade, and premium gasoline sold in a day. Assume that X1, X2, and X3 have means μ1=1500, μ2=500, and μ3=300, and standard deviations σ1=180, σ2=90, and σ3=40, respectively.1) Find the mean daily revenue. 2) Assuming X1, X2, and X3 to be independent, find the standard deviation of the daily revenue. (Round the final answer to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A gas station earns $2.500 in revenue for each gallon of regular gas it sells, $2.550 for each gallon of midgrade gas, and $2.600 for each gallon of premium gas. Let X1, X2, and X3 denote the numbers of gallons of regular, midgrade, and premium gasoline sold in a day. Assume that X1, X2, and X3 have means μ1=1500, μ2=500, and μ3=300, and standard deviations σ1=180, σ2=90, and σ3=40, respectively.
1) Find the
2) Assuming X1, X2, and X3 to be independent, find the standard deviation of the daily revenue. (Round the final answer to three decimal places.)
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