2. 外语
  3. The probability distribution function f of a continuous random variable x is defined by f(x) = for−3≤x≤2. Quantity A: The media

The probability distribution function f of a continuous random variable x is defined by f(x) = for−3≤x≤2. Quantity A: The media

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问题 The probability distribution function f of a continuous random variable x is defined by f(x) = for−3≤x≤2.
Quantity A: The median of the distribution of x
Quantity B: -9/5
选项 A、Quantity A is greater.
B、Quantity B is greater.
C、The two quantities are equal.
D、The relationship cannot be determined from the information given.
答案A
解析 中位数就是第50个百分位数，即看概率分布从左开始面积为1/2处对应的x的值。画图，从图像上可知，要使四边形ABCD的面积为1/2。设B横坐标为x。则AB=-2x/13，ABCD的面积为(2/13x+6/13)(3-x)=1/2，解得x==-1.58＞-9/5，故答案为A。
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