Question

The number of cars that arrive at a certain intersection follows the Poisson distribution with a rate of 1.9 cars/min. What is the probability that at least two cars arrive in a 2 minutes period?

Answer #1

The number of cars arriving at a gas station can be modelled by
Poisson distribution with the average rate of 5 cars per 10
minutes. a. The probability that one car will arrive to a gas
station in a 5 -minute interval is _________ b. The probability
that at least one car will arrive to the gas station in a 10 -
minute interval is ______

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...

Cars arrive to a gas station according to a Poisson
distribution with a mean of 4 cars per
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
arriving in 2 hours? ROUND TO FOUR (4) DECIMAL
PLACES.

If the number of arrivals in a cell phone shop follows a Poisson
distribution, with a reason of 10 clients per hour:
What is the probability that in the next half hour, 4 clients
arrive?
What is the probability that in the next two hours, between 18
and 22 clients arrive?
What is the average time between arrivals?
What is the median of the time between arrivals?
What is the probability that the time that transpires for the
next arrival...

The number of people arriving at an emergency room follows a Poisson distribution with a rate of 10 people per hour.
a.What is the probability that exactly 7 patients will arrive during the next hour?
b. What is the probability that at least 7 patients will arrive during the next hour?
c. How many people do you expect to arrive in the next two hours?
d. One in four patients who come to the emergency room in hospital. Calculate the...

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...

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)

2. The arrival of insurance claims follows a Poisson
distribution with a rate of 7.6 claims per hour.
a) Find the probability that there are no claims during 10
minutes.
b) Find the probability that there are at least two claims
during 30 minutes.
c) Find the probability that there are no more than one claim
during 15 minutes.
d) Find the expected number of claims during a period of 2
hours. (5)

The arrival of insurance claims follows a Poisson distribution
with a rate of 7.6 claims per hour.
1) Find the probability that there are no claims during 10
minutes
2) Find the probability that there are at least two claims
during 30 minutes
3) Find the probability that there are no more than one claim
during 15 minutes
4) Find the expected number of claims during a period of 2
hours

1. The number of cars entering a parking lot follows Poisson
distribution with mean of 4 per hour. You started a clock at some
point.
a. What is the probability that you have to wait less than 30
minutes for the next car?
b. What is the probability that no car entering the lot in the
first 1 hour?
c. Assume that you have wait for 20 minutes, what is the
probability that you have to wait for more than...

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