Question

Airplanes arrive at a small general aviation airport with an
average arrival rate of 2 per hour. At a site that operates

365 days a year, 24 hours a day, how many hours in a year will
there be 3 or more airplanes present?

Answer #1

Airplanes arrive at a small general aviation airport with an
average arrival rate of 2 per hour. At a site that operates
365 days a year, 24 hours a day, how many hours in a year will
there be 3 or more airplanes present?

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?

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 small aircraft arrive at a certain airport according to
a Poisson process at a rate α=8 per hour.
(a) What is the probability that exactly 6 small aircraft arrive
during a 1-hour period? (2 pts)
(b) What are the expected value and standard deviation of the
number of small aircraft that arrive during a 90 minute period? (3
pts)
(c) What is the probability that at least 5 aircraft arrive
during a 2.5 hour period? (5 pts)

Suppose small aircraft arrive at a certain airport according to
a Poisson process with rate α = 8 per hour, so that the number of
arrivals during a time period of t hours is a Poisson rv with
parameter μ = 8t. (Round your answers to three decimal places.)
(a) What is the probability that exactly 5 small aircraft arrive
during a 1-hour period?
What is the probability that at least 5 small aircraft arrive
during a 1-hour period?
What...

If the average arrival rate is 10 per hour, and the average time
it takes to help a customer is 5 minutes, then:
Group of answer choices
No customer will ever have to wait: we can help more customers
per hour than arrive
Utilization is less than 100%: we can help more customers per
hour than arrive, but we may have a queue form and customers might
have to wait..
None of the other answers are correct
There can never...

Suppose small aircraft arrive at a certain airport according to
a Poisson process with rate α = 8 per hour, so that the
number of arrivals during a time period of t hours is a
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
during a 1-hour period?_____________
What...

3. Repair jobs arrive at a small-engine repair shop
randomly at the rate of 10 per day.
a. What is the average number of jobs that are received daily at
the shop?
b. What is the probability that no jobs will arrive during any 1
hour, assuming that the shop is open 8 hours a day?

The mean rate of arrival at an airport during the peak period is
20 planes per hour. The actual number of arrivals number of
arrivals in any hour follows a poisson distribution. The airport
can land 60 planes per hour on average in good weather and 30
planes per hour in bad weather. The number landed planes in any
hour follows an exponential distribution. When there is congestion,
the plane that arrives first, lands first. There is only one
landing...

At an airport domestic flight arrive according to a Poisson
distribution with rate 5 per hour, and international flights arrive
according to a Poisson distribution with rate 1 per hour. What is
the probability that the time between third and fourth flight
arrivals is more than 15 minutes?

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