Question

Suppose that buses are coming into a station at an average rate 4 per hour according to a Poisson process. We start to account the buses from 1:00 (pm).

(a) What is the probability that no buses arrive between
1:00pm-2:00pm?

(b) What is the probability that three buses arrive between
1:00pm-3:00pm?

(c) What is the probability that the third bus takes more that 3
hours to arrive?

(d) What is the expected time the third bus arrive to the station?

Answer #1

Suppose that Airplanes are coming into an Airfield at an average
rate 4 per hour according to a Poisson process. We start to account
the Airplanes from 3:00 (pm).
(a) What is the probability that the third Airplanes takes more
that 2 hours to arrive?
(b) What is the expected time the third Airplanes arrive to the
station?
(c) What is the probability that three Airplanes arrive between
3:00pm-4:00pm?
(d) What is the probability that no buses arrive between
3:00pm-5:00pm?

suppose starting at 8am buses arrive at a bus stop according to
the poisson process at a rate of one every 15 mins. if the 1st bus
has not arrived by 815am what is the probability it will arrive
before 830 am.
B. find the probability that the 3rd bus arrives after 9am. note
we do not assume the condition that the 1st bus has not arrived by
815 am as stated above

Buses arrive at a certain stop according to a Poisson process
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to arrive home. Suppose your policy when arriving at the bus stop
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Suppose that at a particular bus stop, Brown buses arrive
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class.). When you approach the bus stop, you see that
you have just missed a Blue bus. Class starts in 20 minutes and it
is exam day so you want to get to class as soon as...

Vehicles arrive at the Bun-and-Run drive-thru at a Poisson rate
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Calculate the probability that at least 2 trucks arrive between
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Suppose passengers arrive at a MARTA station between 10am-5pm
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S0= 0 , Sn be the arrival time of the nth passenger, Xn be the
interrarrival time between the (n−1)st and nth passenger.
a. What is the probability that ten passengers arrive between
2pm and 4pm given that no customer
arrive in the first half hour?...

Cars arrive to a gas station according to a Poisson
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hour. Use Excel or StatCrunch to
solve.
a. What is the expected number of cars arriving
in 2 hours, or λt?
b. What is the probability of 6 or less cars
arriving in 2 hours? ROUND TO FOUR (4) DECIMAL
PLACES.
c. What is the probability of 9 or more cars
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Suppose small aircraft arrive at a certain airport according to
a Poisson process with rate α = 8 per hour, so that the
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Poisson rv with parameter μ = 8t.
(Round your answers to three decimal places.)
(a) What is the probability that exactly 7 small aircraft arrive
during a 1-hour period?____________
What is the probability that at least 7 small aircraft arrive
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What...

On Fridays at KK airport in Lusaka, airplanes arrive at an
average of 3 for the one hour period 13 00 hours to 14 00 hours. If
these arrivals are distributed according to the Poisson probability
distribution, what are the probability that either one or two
airplanes will arrive between 13.00 hours and 14 00 hours next
Friday?

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