exercise24 - (the physical probability of a getting a...

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Exercise 24 Philosophy 102 (Maher) Spring 2009 1. A card was drawn from a standard deck of 52 cards. (If you don’t know what is in such a deck, see http://patrick.maher1.net/102/cards.html .) Let A = the card is an ace, H = the card is a heart. Find: (a) p ( H ) (b) p ( H ) (c) p ( A ) (d) p ( A ) (e) p ( A.H ) (f) p ( A H ) (g) p ( A. H ) (h) p ( A | H ) (i) p ( H | A ) (j) p ( A | A.H ) (k) p ( A.H | A ) (l) p ( A.H |∼ A ) 2. An urn contains nine coins, of which six are fair and three have heads on both sides. A coin is drawn from the urn and tossed twice. Let F = the coin is fair, H i = the coin lands heads on the i th toss. Find: (a) p ( F ) (b) p ( H 1 .H 2 | F ) (c) p ( H 1 . H 2 | F ) (d) p ( ( H 1 .H 2 ) | F ) (e) p ( H 1 .H 2 |∼ F ) (f) p ( ( H 1 .H 2 ) |∼ F ) 3. Belinda was tested for a disease that 1 person in 700 has. The false positive rate for this test
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Unformatted text preview: (the physical probability of a getting a positive result from a test on a person who doesnt have the disease) is 5% and the false negative rate (the physical probability of getting a negative result from a test on a person who has the disease) is 1%. Let D = Belinda has the disease, T = Belindas test result is positive. Find: (a) p ( D ) (b) p ( D ) (c) p ( T | D ) (d) p ( T | D ) (e) p ( T | D ) (f) p ( T | D )...
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This note was uploaded on 04/13/2009 for the course PHIL 102 taught by Professor Weinberg during the Spring '08 term at University of Illinois at Urbana–Champaign.

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