oldMidterm_solution

# oldMidterm_solution - X denote the number of typos in a...

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IEOR 172 SAMPLE MIDTERM SOLUTIONS Problems 1.)Let F denote the event that satellite functions and R denote the event that it is gonna rain tomorrow. then: P ( F ) = P ( F | R ) P ( R ) + P ( F | R c ) P ( R c ) = [ n X i = k ( n k ) p i (1 - p ) n - i ] α + [ n X i = k ( n k ) q i (1 - q ) n - i ](1 - α ) 3.)Assuming the probability of a single typo is small and each typo error is independent of the others, we can use Poisson approximation to binomial. If
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Unformatted text preview: X denote the number of typos in a page then X is Poisson distributed with Î» = 0 . 2 a.) P ( X = 0) = e-. 2 b.) P ( X > 2) = 1-P ( X â‰¤ 2) = 1-e-. 2-e-. 2 (0 . 2)-e-. 2 (0 . 2) 2 / 2! 1...
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## This note was uploaded on 02/10/2010 for the course IEOR 160 taught by Professor Hochbaum during the Spring '07 term at Berkeley.

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