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# Quiz1B - X t M X t = b(6 Let Y = 2 X 1 Find the probability...

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STAT 410 Spring 2008 Version B Name _________________________ Quiz 1 (10 points) Be sure to show all your work, your partial credit might depend on it. No credit will be given without supporting work. 1. Consider a continuous random variable X with p.d.f. f X ( x ) = ° ° ± ° ° ² ³ < < otherwise 0 5 2 21 2 x x a) (4) Find the moment-generating function M

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Unformatted text preview: X ( t ). M X ( t ) = ____________________________________________________________. b) (6) Let Y = 2 X 1 . Find the probability distribution of Y. ( That is, either find the c.d.f. of Y, F Y ( y ), – ∞ < y < ∞ , OR find the p.d.f. of Y, f Y ( y ), – ∞ < y < ∞ . ) Answer:...
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