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一道概率题

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楼主
发表于 2008-9-9 06:35:00 | 只看该作者

一道概率题

A professor finds that she awards a final grad of A to 22% of her students, and of these students, 72% got an A on the midterm examination. Also 12% of students who did not get a final grade of A earned an A on the midterm exam. What is the probability that a student with an A on the midterm examination will obtain a final grade of A?

答案是:0.6285

谁告诉我怎么算地.

谢谢

沙发
发表于 2008-9-9 08:19:00 | 只看该作者
22% of all student got A on the final
72% of the 22% got an A on the midterm = 15.84% of the total student got an A on both the midterm and final
12% of the student who did not get an A on the final got an A on the midterm [12% x (1-22%)] = 9.36%
15.84%/(15.84%+9.36%) = 62.85% or 0.6285
希望可以帮助

板凳
 楼主| 发表于 2008-9-9 08:32:00 | 只看该作者
Thank you
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