Math511Exam1Solutions

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Unformatted text preview: box Z contains 8 cards labeled X and 2 cards labeled Y. You choose a card from box Z and then draw a marble from the box having the same label as on the card. (a). What is the probability that you choose a red marble? Solution: P ( R ) = P ( R ∩ X ) + P ( R ∩ Y ) = P ( R | X ) P ( X ) + P ( R | Y ) P (Y ) = 0.3 × 0.8 + 0.60 × 0.2 = 0.36 (b). Suppose that you perform this experiment and choose a red marble. What is the probability that the marble came from box X? P ( X ∩ R ) P ( R | X ) P ( X ) 0.3 × 0.8 0.24 24 2 Solution:...
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This note was uploaded on 01/25/2014 for the course MATH 511 taught by Professor Sumner during the Spring '13 term at South Carolina.

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