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