AMS employs 7 professors on their staff. Their respective probability of remaining in employment for 10 years are, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years all 7 of them still work in AMS is ?
Options:
A) 0.19
B) 0.018144
C) 0.1
D) 0.16
E) none of these
Asking atleast 6 of them continue ,   it has 3 cases.   1 all 7 professors continue.   all 7 continues - 0.3*0.4*.0.5*0.6*0.7*0.8*0.9 =0.018144   0.018144
<result>B</result>
AMS employs 7 professors on their staff. Their respective probability of remaining in employment for 10 years are, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years all 7 of them still work in AMS is ?