Spring 2011 Homework 4 Solutions

Spring 2011 Homework 4 Solutions - Probability and...

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Probability and Statistics for Engineering Homework 4 Solutions Spring 2011 (1) Poisson - œ") =œ' 5œ"!) TÒ*! Ÿ \ Ÿ "!!Ó œ JÐ"!!Ñ  JÐ)*Ñ œ Þ#!$" (2) 0ÐBÑ œ / ! Ÿ B Ÿ - * % #B (a) ' ! - ** * %) ) /. B œ / œ / " Ñ #B #B #- ! - ¹ Ð /  " Ñ œ " * ) Ð #- / " œ #- ) * #- " * #- œ ln Š‹ " * - œ  œ œ $ œ "Þ!*)' "" " #* * ln ln ln " # Thus ß ! Ÿ B Ÿ $ * % #B . ln (b) ' ! B *** * %)) ) / .>œ / œ / "Ñœ / Ñ !ŸBŸ $ #> #> #B #B ! B ¹ ÐÐ " if ln Thus JÐBÑœ !B ! $ "B $ if if if . * ) Ð"  / Ñ #B ln ln (c) \ Ÿ " œ ’“ " # ' " # " * ) / .B œ  / œ 
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