∵随机变量X服从正态分布N(μ,σ2),P(μ-2σ<X≤μ+2σ)=0.9544,P(μ-σ<X≤μ+σ)=0.6826,μ=4,σ=1,∴P(2<X≤6)=0.9544,P(3<X≤5)=0.6826,∴P(2<X≤6-P(3<X≤5)=0.9544-0.6826=0.2718,∴P(5<X<6)= 1 2 ×0.2718=0.1359故答案为:0.1359