2015 高考数学第 4 题答案解析

2015_退役省自主命题 (2015·理)

2015 全国 第 4 题 单选题 区分题
2015_退役省自主命题 (2015·理)

4.设 $X \sim N\left(\mu_{1}, \sigma_{1}^{2}\right), Y \sim N\left(\mu_{2}, \sigma_{2}^{2}\right)$ ,这两个正态分布密度曲线如图所示.下列结论中正确的是

A. $P\left(Y \geq \mu_{2}\right) \geq P\left(Y \geq \mu_{1}\right)$
B. $P\left(X \leq \sigma_{2}\right) \leq P\left(X \leq \sigma_{1}\right)$
C. 对任意正数 $t, P(X \leq t) \geq P(Y \leq t)$
D. 对任意正数 $t, P(X \geq t) \geq P(Y \geq t)$ ![](https://zrnldcwkessrrttcovpg.supabase.co/storage/v1/object/public/review-images/tasks/3b7b3ea5-2df3-4d00-b8a6-b77d454843fa/0e29dfc3fa35c203.jpg)
参考答案C

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