Question 578909: Assume drivers are independent.
a) If 5% of the drivers fail to stop at a red light, find the probability tahat at least 2 of the next 100 drivers fail to stop.
b) If on the average 3 drivers fail to stop at the red light during each rush hour, what is the probability that at least 2 drivers fail to stop at the red light during tonight’s rush hour?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assume drivers are independent.
a) If 5% of the drivers fail to stop at a red light, find the probability that at least 2 of the next 100 drivers fail to stop.
Binomial Problem with n = 100 and p(fail to stop) = 0.05
P(2<= x <=100) = 1- binomcdf(100,0.05,1) = 0.9629
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b) If on the average 3 drivers fail to stop at the red light during each rush hour, what is the probability that at least 2 drivers fail to stop at the red light during tonight’s rush hour?
That is a Poisson problem.
Cheers,
Stan H.
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