3. Suppose that X is a continuous random variable with pdf 32², 0
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc2a3207-1546-4f7c-866f-8a9e0d862ab8%2F105e3ea6-438e-4c99-9e0e-fdf07fbbaf94%2Fa5irc_processed.jpeg&w=3840&q=75)
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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