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Unformatted text preview: wise she will go away alone. If Julia waits for T hour in the coeeshop, nd (a) the cdf of T and (b) E ( T ). 1 4. [2 5 = 10 pts] Let X be a random variable with distribution function F ( x ) = (1 / 4) e x1 if < x < 1 1 / 2 if 1 x < 2 x/ 4 if 2 x < 3 1 if x 3 . (a) Is X discrete, continuous or mixed? (b) Find P (0 < X 1 . 5). (c) Find P ( X = 3). (d) Find P (1 X < 3). (e) Find P (1 X 1). 5. [2 + 3 = 5 pts] Suppose X has a normal distribution with mean 2 and variance 4. If Y = ( X2) / 2, (a) nd the PDF of Y . (b) Find P (2 X 2)? 2...
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 Fall '08
 WEBER

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