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Unformatted text preview: 3. Let f ( x ) = c sin( x ) if x (0 , ) and f ( x ) = 0 otherwise. (a) What value of c makes f a PDF? (b) Suppose X is a random variable with f as PDF. Find its cumulative distribution function and compute E( X ). 4. Same as Problem 3 with f ( x ) = c xe-x/ 2 if x > 0 and f ( x ) = 0 if x 0. 5. Let a, c > 0 and dene f ( x ) = c/x 3 if x > a and f ( x ) = 0 if x a . Suppose f is a PDF. (a) Express c in terms of a . (b) Let X be a random variable with PDF f . Compute E( X ) as a function of a ....
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This homework help was uploaded on 02/03/2008 for the course MATH MATH 180A taught by Professor Castro during the Fall '08 term at UCSD.
- Fall '08