Consider that a ball is thrown with a random angle 0 € [0,360) (in degrees) and a random radius r € [0,1] (in meters) both independent and uniform. Calculate the density of the variables X and Y (the cartesian coordinates of the point at angle 0 and radius r) as well as their expectation and variance.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
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Consider that a ball is thrown with a random angle 0 € [0,360) (in degrees) and a random
radius r € [0,1] (in meters) both independent and uniform. Calculate the density of the
variables X and Y (the cartesian coordinates of the point at angle 0 and radius r) as well as their
expectation and variance.
Transcribed Image Text:Consider that a ball is thrown with a random angle 0 € [0,360) (in degrees) and a random radius r € [0,1] (in meters) both independent and uniform. Calculate the density of the variables X and Y (the cartesian coordinates of the point at angle 0 and radius r) as well as their expectation and variance.
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