3. Suppose that X is a continuous random variable with pdf 32², 0

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
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3. Suppose that X is a continuous random variable with pdf
3x², 0<x< 1
0, otherwise
fx(x) =
Let Y= 2X + 3.
(a) The random variable Y takes on values in a certain interval. What is the interval?
Express your answer as an open interval.
(b) Find the pdf of the random variable Y using the cdf method.
(c) Find E(Y).
Transcribed Image Text:3. Suppose that X is a continuous random variable with pdf 3x², 0<x< 1 0, otherwise fx(x) = Let Y= 2X + 3. (a) The random variable Y takes on values in a certain interval. What is the interval? Express your answer as an open interval. (b) Find the pdf of the random variable Y using the cdf method. (c) Find E(Y).
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