el 3%of the time. If there is a question on the o L he and Brunich asks le rding
ID: 3303172 • Letter: E
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el 3%of the time. If there is a question on the o L he and Brunich asks le rding international relations, what is the probability that Ansah wrote the exam? Probability and exam questions. Assume now that a third professor, Professor Ubaru, writes the exam 20% of the time, Brunich 30% of the time, and Ansah the rest. Ubaru asks a question about international relations 40% of the time, Brunich 35% of the time, and Ansah 25% of the time. If there is an international relations question on the exam, what is the 64. probability that Brunich did not write the exam? Product reliability. You want to purchase a DVD drive for your laptop computer. Assume that 65% of the drives are made outside the United States. Of the US.-made drives, 4% are defective, of the foreign-made drives, 6% are defective. Determine each probability rounded to three decimal places. 65. The probability that the drive you purchase is U.S. made and is not defective 66. The probability that the drive you purchase is foreign made and is defective If your drive is defective, the probability that it is foreign made 67. 68. If your drive is defective, the probability that it is made in the United States ig testing. In Exercises 69 and 70, do computations similar to e employees use the drug and that the test correctly identifies Alsa assume that the test identifies a ose in Example 6 using this revised information. Assume that 4% 0Explanation / Answer
let probability of USA made drive =P(A) =1-0.65 =0.35
and probability of defective =P(D)
65) probability =P(A n Dc ) =P(A)*P(Dc|A) =0.35*(1-0.04)=0.336
66) probability =P(Ac nD) =P(Ac)*P(D|Ac ) =0.65*0.06 =0.039
67)Probability of defective =P(D) =P(A)*P(D|A)+P(Ac)*P(D|Ac) =0.35*0.04+0.65*0.06=0.053
therefore probability of foreign made given defective =P(Ac)P(D|Ac)/P(D)= 0.65*0.06/0.053=0.7358
68)probability of USA made given defective =P(A)*P(D|A)/P(D)= 0.35*0.04/0.053=0.2642
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