The flow of traffic at certain street corners can sometimes be modeled as a sequence of Bernoulli trials by assuming that the probability of a car passing during any given second is a constant p and that there is no interaction between the passing of cars at different seconds. If we treat seconds as indivisible time units (trials), the Bernoulli model applies. Suppose a pedestrian can cross the street only if no car is to pass during the next 3 seconds. Find the probability that the pedestrian has to wait for exactly 4 seconds before starting to cross.
The flow of traffic at certain street corners can sometimes be modeled as a sequence of Bernoulli trials by assuming that the probability of a car passing during any given second is a constant p and that there is no interaction between the passing of cars at different seconds. If we treat seconds as indivisible time units (trials), the Bernoulli model applies. Suppose a pedestrian can cross the street only if no car is to pass during the next 3 seconds. Find the probability that the pedestrian has to wait for exactly 4 seconds before starting to cross.
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Transcribed Image Text:The flow of traffic at certain street
corners can sometimes be modeled as a
sequence of Bernoulli trials by assuming
that the probability of a car passing
during any given second is a constant p
and that there is no interaction between
the passing of cars at different seconds.
If we treat seconds as indivisible time
units (trials), the Bernoulli model applies.
Suppose a pedestrian can cross the
street only if no car is to pass during the
next 3 seconds. Find the probability that
the pedestrian has to wait for exactly 4
seconds before starting to cross.
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