且满足 10000 10000 EX ∑ ∑ P=p 10000 =1 10000 10000 10000 DX= DX 10000 ∑ k ∑1-p) k=1 10000 k=1 10000 于是,由切比雪夫不等式得 PX-<0)=PX-Ex<001=1-P(X-EX2009 DX 3 ≥1 1-p(1-p)=(p 0.01 3且满足 10000 10000 1 1 1 1 10000 10000 k k k E X EX p p 10000 10000 2 2 1 1 1 1 (1 ) (1 ) 10000 10000 10000 k k k p p DX DX p p 于是, 由切比雪夫不等式得 P{X p 0.01} P{XEX 0.01}1P{XEX 0.01} 2 2 1 3 1 1 (1 ) ( ) 0.01 2 4 DX p p p 3 4