题目:
设随机落在曲线y=2x-x2与x轴所围闭区域内的点的分布是均匀分布,以(X,Y)表示落点的坐标.
(1)求落点到y轴的距离的概率密度和分布函数;
(2)求落点到坐标原点距离的平方的数学期望.
答案:
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