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Thursday, May 19, 2011

Cars on the Road

if the probability of observing a car in 20 minutes on a highway is 609/625, what is the probability of observing a car in 5 minutes (assuming constant default probability)?


probability of not seeing the car in 20 mins = (probability of not seeing the car in 5 mins)^ 4

as we can assume constant default probability

probability of not seeing tha car in 5 mins = (1 - (609/625))^ (1/4) = 2/5

so probability of seeing the car in 5 mins = 1 - (2/5) = 3/5
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