Question: The radius of a soap bubble has a probability density function f(r) = A(1 - (r - l)2) for 0 < r < 2. (a)

The radius of a soap bubble has a probability density function
f(r) = A(1 - (r - l)2)
for 0 < r < 2.
(a) What is the value of A?
(b) What is the probability density function of the volume of the soap bubble?
(c) What is the expected value of the volume of the soap bubble?

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