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?

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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