48. An experiment consists of first performing a task in whichA,B, orCcan occur. Then, a second task is performed in whichDorEcan 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 classreceived anAon the exam and 15% of the class received aBon the exam, what was the cutoff for aB?50. Solve the following linear programming problem:MinimizeC= 2x+ 4ySubject to0.1x+ 0.1y≥1x+ 2y≥14x≥0, y≥051. Brian has decided to purchase an engagement ring for his girlfriend.
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