随机变量X的概率密度

来源：百度知道 编辑：UC知道 时间：2024/06/20 06:32:53
f(x)=x, 0<=x<1 2-x ,1<=x<2 0,其他
求：P｛1/2<X<3/2}
我要解题过程，只有答案的就不免了

这是个典型的利用概率密度求解概率的问题，需要利用积分即可。
这样，所求概率P就是变量X从1/2积分到3/2（积分号我不会打。。），需要分段。从1/2到1对x积分得3/8，从1到2/3对2-x积分得3/8，相加得3/4，即得答案。

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuubbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn