2. The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year. (a) What is the probability that there are no sightings within three months? (b) What is the probability that the time until the first sighting exceeds six months? (c) What is the probability of no sighting within three years?
2. The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year. (a) What is the probability that there are no sightings within three months? (b) What is the probability that the time until the first sighting exceeds six months? (c) What is the probability of no sighting within three years?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:2. The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of
2.3 per year.
(a) What is the probability that there are no sightings within three months?
(b) What is the probability that the time until the first sighting exceeds six months?
(c) What is the probability of no sighting within three years?
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