Homework8 - (b) Y = bX , where b > 0 is a...

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ST561 Fall 2010 Homework 8 Due: Monday, Nov. 22th, 2010 1. Let X 1 and X 2 be independent Uniform(0,1) random variables. Find the distribution of X 2 /X 1 . 2. Suppose X has pdf f X ( x ) for -∞ < x < . Express f Y ( y ) in terms of f X ( x ) for the following transformations of X . (a) Y = X + a , where a is a constant real number.
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Unformatted text preview: (b) Y = bX , where b &gt; 0 is a positive constant real number. (c) Y =-X . (d) Y = | X | . (e) Y = X 2 . 3. Textbook Page 230, 4.2.10 4. Textbook Page 230, 4.2.14 5. Textbook Page 231, 4.2.18 6. Textbook Page 232, 4.4.1 1...
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