hw10 - CS 70 Discrete Mathematics for CS Spring 2005...

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Unformatted text preview: CS 70 Discrete Mathematics for CS Spring 2005 Clancy/Wagner HW 10 Due Thursday, April 14 Coverage: This assignment involves topics from the lectures of March 29 and 31, and from Rosen section 5.2. Administrative reminders: We will accept only unformatted text files or PDF files for homework sub- mission. Include your name, login name, section number, and partner list in your submission. Give the command submit hw10 to submit your solution to this assignment. Homework exercises: 1. (8 pts.) A paradox in conditional probability? Here is some on-time arrival data for two airlines, A and B, into the airports of Los Angeles and Chicago. (Predictably, both airlines perform better in LA, which is subject to less flight congestion and less bad weather.) Airline A Airline B # flights # on time #flights # on time Los Angeles 600 534 200 188 Chicago 250 176 900 685 (a) Which of the two airlines has a better chance of arriving on time into Los Angeles? What about Chicago? (b) Which of the two airlines has a better chance of arriving on time overall? (c) Do the results of parts (a) and (b) surprise you? Explain the apparent paradox, and interpret it in terms of conditional probabilities.terms of conditional probabilities....
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hw10 - CS 70 Discrete Mathematics for CS Spring 2005...

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