HW7Answers(3.1) - Math331, Spring 2008 Instructor: David...

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Unformatted text preview: Math331, Spring 2008 Instructor: David Anderson Section 3.1 Homework Answers Homework: pgs. 82 - 84 #’s 2, 3, 8, 9, 18. 2. Let E be the event that the A antigen is found. Let F be the event that the blood type is A . We want P ( F | E ) = P ( FE ) /P ( E ). But F ⊂ E and so P ( F | E ) = P ( FE ) /P ( E ) = P ( F ) /P ( E ) = . 41 / ( . 41 + . 04) = . 9111 . 3. Let E be the event of getting an A in calc. Let F be the event of getting an A in physics. Then P ( F | E ) = P ( EF ) /P ( E ) = . 2 /. 32 = . 625 . 8. Let A be the event of a sum of 5 and B be the event of different numbers. We want P ( A | B ) = P ( AB ) /P ( B ). Note that if a 5 is thrown, the two numbers had to be different. Thus, A ⊂ AB and so P ( A | B ) = P ( A ) 1 P ( B ) = 4 36 1 (1- P ( B c )) = 4 36 1 (1- 6 / 36) = 4 30 = . 133333 . 9. Let A be the event of exactly two trout and let B be the event that at least three of the fish of not trout. Note that B c is then the event that at most two fish are not trout and so...
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This note was uploaded on 03/31/2008 for the course MATH 331 taught by Professor Anderson during the Spring '08 term at University of Wisconsin.

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