7.12 Let X be the amount of premium gasoline (in 1,000 gallons) that a service station has in its tanks at the beginning of a day, and Y the amount that the service station sèlls during that day. If the joint density of X and Y is given by for 0 < y < x < 20 f(x, y) = 1 200 0 elsewhere use the distribution function technique to find the probability density of the amount that the service station has left in its tanks at the end of the day.
7.12 Let X be the amount of premium gasoline (in 1,000 gallons) that a service station has in its tanks at the beginning of a day, and Y the amount that the service station sèlls during that day. If the joint density of X and Y is given by for 0 < y < x < 20 f(x, y) = 1 200 0 elsewhere use the distribution function technique to find the probability density of the amount that the service station has left in its tanks at the end of the day.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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