1. A random variable X has a probability density function given by 2x + 6 fx(x) -3 < x < 2. 25 Let Y = |X|. (a) What is Sy? (b) Is the transformation one-to-one? (c) Derive the cumulative distribution function of Y. (d) Derive the probability density function of Y.

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1. A random variable X has a probability density function given by
2x + 6
fx(x)
-3 < x < 2.
25
Let Y = |X|.
(a) What is Sy?
(b) Is the transformation one-to-one?
(c) Derive the cumulative distribution function of Y.
(d) Derive the probability density function of Y.
Transcribed Image Text:1. A random variable X has a probability density function given by 2x + 6 fx(x) -3 < x < 2. 25 Let Y = |X|. (a) What is Sy? (b) Is the transformation one-to-one? (c) Derive the cumulative distribution function of Y. (d) Derive the probability density function of Y.
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