Problem 2. Suppose we have two independent random variables R ~ Unif [0, 1] and O ~ Unif [0,2]. Suppose that a slice of pizza is to be conjured with radius R and opening angle O. What is the expected area of this slice of pizza?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
Question
Problem 2. Suppose we have two independent random variables R ~ Unif [0, 1] and O ~ Unif [0,2].
Suppose that a slice of pizza is to be conjured with radius R and opening angle O. What is the
expected area of this slice of pizza?
Transcribed Image Text:Problem 2. Suppose we have two independent random variables R ~ Unif [0, 1] and O ~ Unif [0,2]. Suppose that a slice of pizza is to be conjured with radius R and opening angle O. What is the expected area of this slice of pizza?
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