设随机变量X有期望E(X)与方差D(X)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)≤1-D(X)/ε2
D、P{}∣X-E(X)∣≥ε}≤D(X)/ε2
【正确答案】:D
【题目解析】:有切比雪夫定理,可得P{}∣X-E(X)∣≥ε}≤D(X)/ε2
设随机变量X有期望E(X)与方差D(X)则对任意正数ε,有()
- 2024-08-03 22:02:51
- 概率论与数理统计(二)(02197)