某公司招聘员工,指定三门考试课程,有两种考试方案.

1个回答

  • 记该应聘者对三门指定课程考试及格的事件分别为A,B,C,

    则P(A)=0.5,P(B)=0.6,P(C)=0.9.--------------(2分)

    (Ⅰ) 应聘者用方案一考试通过的概率

    p 1=P(A•B•

    .

    C )+P(

    .

    A •B•C)+P(A•

    .

    B •C)+P(A•B•C)

    =0.5×0.6×0.1+0.5×0.6×0.9+0.5×0.4×0.9+0.5×0.6×0.9

    =0.03+0.27+0.18+0.27

    =0.75.--------------(7分)

    (Ⅱ) 应聘者用方案二考试通过的概率

    p 2=

    1

    3 P(A•B)+

    1

    3 P(B•C)+

    1

    3 P(A•C)

    =

    1

    3 ×(0.5×0.6+0.6×0.9+0.5×0.9)

    =

    1

    3 ×1.29

    =0.43--------------(12分)