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

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

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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Question

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

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