Answered: random angle ? ∈ [0, 360) (in degrees)…

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 cartesi

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 7CR

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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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