设X~N(5,9),已知标准正态分布函数值Φ(0.5)=0.6915,为使P{X﹤a}﹤0.6915,则常数a﹤____.

设X~N(5,9),已知标准正态分布函数值Φ(0.5)=0.6915,
为使P{X﹤a}﹤0.6915,则常数a﹤____.


【正确答案】:

6.5


【题目解析】:

P{X﹤a}=Φ[(a-5)/3]﹤0.6915=Φ(0.5).∴(a-5)/3﹤0.5,∴a﹤6.5