SOLUTION: At a certain military installation six similar radars are placed in operation. it is known that a radars probability of failing to operate before 500 hours of "on" time have accumu

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Question 327968: At a certain military installation six similar radars are placed in operation. it is known that a radars probability of failing to operate before 500 hours of "on" time have accumulated is 0.06. What are the probabilities that before 500 hours have elapsed, a)all will operate
b)all will fail and
c)only one will fail?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a)P(all work)=%280.94%29%5E6=0.6899
.
.
b)P(all fail)=%280.06%29%5E6=0.00000004666
.
.
c)P(only one fails)=P(#1 fails) or P(#2 fails) or ... P(#6 fails)
P(only one fails)=P(#1 fails) +P(#2 fails)+ ... +P(#6 fails)
P(only one fails)=0.06%2B0.06%2B0.06%2B0.06%2B0.06%2B0.06
P(only one fails)=0.36