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Victorhuo2020-07-12 21:17:02

15.单选题 收藏 已标记 Let (C) be a random normal variable that characterizes the temperature in degree Celsius. Assume (C) has mean of 30.0 and standard deviation of 2.0. Let (F) be the corresponding temperature in degrees Fahrenheit given by F = 1.8×C + 32. Which of the following statements is the best direct reflection of the location-scale invariance property of the normal distribution? A If mean of C were instead 0 with variance of 1, then C would be a standard normal B Standard deviation of F is 2.0 C Standard deviation of F is 3.6 D F is normally distributed 这道题答案不明白说的是啥,我自己的答案选择D,答案为啥去分析了C答案??麻烦讲解一下?

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Jenny2020-07-13 11:33:52

同学你好,这道题选的是D呀,答案选的也是D,是不是对错答案了呢?解析的意思就是C选项的计算虽然正确,但它体现的是方差公式的性质,而非题目问的location-scale invariance。location-scale invariance指的是,如果x服从正态分布,y=ax+b(a就是乘以一个factor,b就是shift),y依然服从正态分布。所以这个题目选D,其他几个选项和位移不变性无关。

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