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Unformatted text preview: What is the probability that he is a Little-Endian? P( Little | Blue ) = 20 . 096 . ) Blue ( P ) Blue Little ( P = ∩ = 0.48 . 1. (continued) c) (2) What is the probability that a Lilliputian is a Little-Endian, if his eyes are not blue? P( Big | Blue ' ) = 80 . 296 . ) Blue ( P ) Blue Big ( P = ∩ ' ' = 0.37 . d) (2) The first democratically elected Lilliputian president is a Little-Endian with blue eyes. His first day in office he proposed a tax break for Lilliputians who are either Little-Endians or have blue eyes, or both. What proportion of the Lilliput population would receive a tax break under his proposal? P( Little ∪ Blue ) = P( Little ) + P( Blue ) – P( Little ∩ Blue ) = 0.60 + 0.20 – 0.096 = 0.704 . OR P( Little ∪ Blue ) = P( Little ∩ Blue ) + P( Little ∩ Blue ' ) + P( Big ∩ Blue ) = 0.096 + 0.504 + 0.104 = 0.704 . OR P( Little ∪ Blue ) = 1 – P( Big ∩ Blue ' ) = 1 – 0.296 = 0.704 ....
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This note was uploaded on 11/28/2011 for the course STAT 400 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
- Spring '08