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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.

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.

MATLAB: An Introduction with Applications
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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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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