The number of stork sightings on a route in South Carolina per year follows a Poisson distribution with a mean of 2. a. What is the probability that there are exactly 3 sightings within 4 months? Answer: b. What is the mean time between two consecutive sightings? Answer: (years) c. What is the probability that the time until the first sighting is more than 11 months? Answer:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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Question
The number of stork sightings on a route in South Carolina per year follows a Poisson distribution with a
mean of 2.
a. What is the probability that there are exactly 3 sightings within 4 months?
Answer:
b. What is the mean time between two consecutive sightings?
Answer:
(years)
c. What is the probability that the time until the first sighting is more than 11 months?
Answer:
Transcribed Image Text:The number of stork sightings on a route in South Carolina per year follows a Poisson distribution with a mean of 2. a. What is the probability that there are exactly 3 sightings within 4 months? Answer: b. What is the mean time between two consecutive sightings? Answer: (years) c. What is the probability that the time until the first sighting is more than 11 months? Answer:
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