下图是一个选择出行路线的“决策树图”,统计路线1和路线2堵车和不堵车的用时和其发生的概率(P),计算出路线1和路线2的加权平均用时,根据计算结果选择出行路线。以下结论中,正确的是:( )。

- A.路线1的加权平均用时为40.5分钟,路线2的加权平均用时为48分钟,因此选择路线1
- B.路线1的加权平均用时为62.5分钟,路线2的加权平均用时为40分钟,因此选择路线2
- C.路线1的加权平均用时为40.5分钟,路线2的加权平均用时为44分钟,因此选择路线1
- D.由于路线2堵车和不堵车时间都比路线1短;因此选择路线2
正确答案及解析
正确答案
解析
本考题考查的知识点为决策树分析方法。
决策树分析方法进行简单计算:
路线1: 35×90% + 90×10%=40.5
路线2:20×30% + 60×70%=48
选择路线选择用时少的,所以选择路线1正确,此题选A。
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