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m=3,n=1; m=5,n=1; m=3,n=-1; m=5,n=-1;
设 X~N(μ,σ2)则 u=(X- μ/ σ)~N(0 ,1) 设 X ~N(μ,σ2)则对任意实数 a、b 有 P(X 设 X ~N(μ,σ2)则对任意实数 a、b 有 P(X>a)=1- Φ(a-μ)/ σ 设 X~N(μ,σ2)则对任意实数 a、b 有 P(a 设 X ~N(μ1, σ21),Y~N(μ2,σ22)则 X+Y ~N(μ1+μ2,(σ1+σ2)2)
f(-n)<f(n-1)<f(n+1) f(n-1)<f(-n)<f(n+1) f(n+1)<f(-n)<f(n-1) f(n+1)<f(n-1)<f(-n)
-2n≤(X+Y)≤2n-1 -2n-1≤(X+Y)<2n-1 -2n-1-1≤(X+Y)≤2n-1 -2n-1≤(X+Y)<2n
N=N1+N2-1 N=max[N1,N2] N=N1 N=N2
X1,X2,…,Xn,… X1,22X2,…,n2Xn,… X1,X2/2,…,Xn,… X1,2X2,…,nXn,…
xsinx x2/(1+x2) x1n(1-x) x1n(1+x)
)2xn(x2+2-3x)=2xn(x-1)(x-2) ( )2xn-2(x2-3x+2)=2xn-2(x-1)(x-2) ( )2xn-2(x4+2x2-3)=2xn-2(x2+3)(x2-1)=2xn-2(x2+3)(x+1)(x-1) ( )2xn-2(x4-2x2+3)=2xn-2 (x2+3)(x2+1)
-2n≤(X+Y)≤2n-1 -2n-1≤(X+Y)<2n-1 -2n-1-1≤(X+Y)≤2n-1 -2n-1≤(X+Y)<2n