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# 14111cwir11ws.11 - 48 An experiment consists of rst...

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48. An experiment consists of first performing a task in which A , B , or C can occur. Then, a second task is performed in which D or E can occur. The following probabilities are known: P ( A ) = 0 . 3, P ( C ) = 0 . 5, P ( D | A ) = 0 . 25, P ( E | B ) = 0 . 7, P ( D | C ) = 0 . 64. Find the following: (a) P ( E ) (b) P ( B | E ) (c) P ( A D ) 49. The scores on an English exam were normally distributed with a mean of 65 and a standard deviation of 5. If 10% of the class received an A on the exam and 15% of the class received a B on the exam, what was the cutoff for a B ? 50. Solve the following linear programming problem: Minimize C = 2 x + 4 y Subject to 0 . 1 x + 0 . 1 y 1 x + 2 y 14 x 0 , y 0 51. Brian has decided to purchase an engagement ring for his girlfriend.
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