求方差的公式到底是d(x)=e(x)^2-e(x^2)还是e(x^2)-e(x)^2还是要加绝对值_数学解答

求方差的公式到底是d(x)=e(x)^2-e(x^2)还是e(x^2)-e(x)^2还是要加绝对值

人气：448 ℃　时间：2020-10-01 23:05:31

解答

设X是一个随机变量,若E{[X-E(X)]^2}存在,则称E{[X-E(X)]^2}为X的方差,记为D(X)或DX.即D(X)=E{[X-E(X)]^2},
D(X)=E(X^2)-[E(X)]^2