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The probability distribution function f of a continuous random variable x is def
The probability distribution function f of a continuous random variable x is def
游客
2024-01-12
53
管理
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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