设随机变量X的期望E(X)与方差D(X)都存在，则对任意正数ε，有()

设随机变量X的期望E(X)与方差D(X)都存在，则对任意正数ε，有()

A、P{∣X-E(X)∣≥ε}≤D(X)/ε²
B、P{∣X-E(X)∣≥ε}≥D(X)/ε²
C、P{∣X-E(X)∣≤ε}≤D(X)/ε²
D、P{∣X-E(X)∣≤ε}≥D(X)/ε²
【正确答案】：A
【题目解析】：设随机变量X的期望E(X)与方差D(X)都存在，则对任意正数ε，有P{∣X-E(X)∣≥ε}≤D(X)/ε²