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Question 3: A wildlife photographer sets out to capture images of a rare bird species in a forest. The sightings of this bird occur according to a Poisson process with a rate of 0.5 sightings per hour. The photographer plans to stay in the forest for two hours. If they spot at least one bird during this period, they will pack up and leave; otherwise, they will continue until they manage to photograph the bird. a. What is the probability that the photographer stays for more than two hours, waiting for a sighting? b. What is the probability that the total time the photographer spends in the forest is between two and four hours? c. Find the probability that the photographer spots at least two birds. d. Calculate the expected total time spent in the forest, given that the photographer has already stayed for four hours without a sighting. e. If three photographers are in the forest under the same conditions, what is the probability that at least two of them spot a bird and leave within two hours?

Name: question 3 a wildlife photographer sets out to capture images of a rare bird species in a forest the sightings of this bird occur according to a poisson process with a rate of 05 sightings p 80665
Uploaded: 2023-05-26T03:12:35-08:00
Duration: 6 min 16 s
Channel: Supreeta N
Description: question 3 a wildlife photographer sets out to capture images of a rare bird species in a forest the sightings of this bird occur according to a poisson process with a rate of 05 sightings p 80665

          Question 3: A wildlife photographer sets out to capture images of a rare bird species in a forest. The
sightings of this bird occur according to a Poisson process with a rate of 0.5 sightings per hour. The
photographer plans to stay in the forest for two hours. If they spot at least one bird during this period,
they will pack up and leave; otherwise, they will continue until they manage to photograph the bird.
a. What is the probability that the photographer stays for more than two hours, waiting for a
sighting?
b. What is the probability that the total time the photographer spends in the forest is between two
and four hours?
c. Find the probability that the photographer spots at least two birds.
d. Calculate the expected total time spent in the forest, given that the photographer has already
stayed for four hours without a sighting.
e. If three photographers are in the forest under the same conditions, what is the probability that
at least two of them spot a bird and leave within two hours?

question 3 a wildlife photographer sets out to capture images of a rare bird species in a forest the sightings of this bird occur according to a poisson process with a rate of 05 sightings p 80665

Added by Ronald L.

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