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On an airport landing strip, there is straight row of ten landing lights. The probability of one of the lights failing in one hour is 0.03% and the probability of failure is independent from the probability of failure in the other lights on that same strip. What is the probability that at least one of the lights on this airport landing strip will fail in five hours?
a) (0.03)^50 %
b) (0.997)^50
c) 1-(0.97)^15 %
d) 1-(0.9997)^50
e) 1-5(0.97)^10 %
Put up your dukes! YOu goT 2 Minutes! :ninja
a) (0.03)^50 %
b) (0.997)^50
c) 1-(0.97)^15 %
d) 1-(0.9997)^50
e) 1-5(0.97)^10 %
Put up your dukes! YOu goT 2 Minutes! :ninja
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18 Oct 2005, 18:35
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Probability of at least one to fail = 1 - none will fail
1 - ((1-03%)*5) and 10 strips is ^10
19 Oct 2005, 01:15
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I go for D.
As each process is independent:
P(1 light not fail 1h)= 0'9997
P(1 lightnot fail 5h)= 0'9997^5
P(10lights not fail 5h)= 0'9997^50
P(at least 1 fail)= 1-0'9997^50
As each process is independent:
P(1 light not fail 1h)= 0'9997
P(1 lightnot fail 5h)= 0'9997^5
P(10lights not fail 5h)= 0'9997^50
P(at least 1 fail)= 1-0'9997^50
