Quiz1Aans - 2 , 3 , 4 , and 5 are equally likely, but 6 is...

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STAT 408 Spring 2009 Version A Name ANSWERS . Quiz 1 (10 points) Be sure to show all your work; your partial credit might depend on it. No credit will be given without supporting work. 1. Suppose P ( A ) = 0.6, P ( B ) = 0.5, P ( C ) = 0.4, P ( A B ) = 0.3, P ( A C ) = 0.2, P ( B C ) = 0.2, P ( A B C ) = 0.1. a) (2) Find P ( A B ). b) (5) Find P ( ( A B ) C ' ). a) P ( A B ) = P ( A ) + P ( B ) P ( A B ) = 0.6 + 0.5 – 0.3 = 0.8 . b) P ( ( A B ) C ' ) = 0.5 .
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2. (3) Suppose a 6-sided die is loaded so that outcomes 1 ,
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Unformatted text preview: 2 , 3 , 4 , and 5 are equally likely, but 6 is 3 times as likely as any other outcome. Find the probability of 6 . 1 , 2 , 3 , 4 , and 5 are equally likely P( 1 ) = P( 2 ) = P( 3 ) = P( 4 ) = P( 5 ) = p for some p . 6 is 3 times as likely as any other outcome P( 6 ) = 3 p . P( 1 ) + P( 2 ) + P( 3 ) + P( 4 ) + P( 5 ) + P( 6 ) = 1. p + p + p + p + p + 3 p = 1. 8 p = 1. p = 1 / 8 = 0.125. P( 6 ) = 3 p = 3 / 8 = 0.375 ....
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Quiz1Aans - 2 , 3 , 4 , and 5 are equally likely, but 6 is...

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