2. Suppose that earthquakes occur in a certain region of California, in accordance with a Poisson process, at a rate of seven per year. Assume that all required conditions for the Poisson process hold. a. What is the probability that in exactly three of the next eight years no earthquakes will occur? b. Approximate the probability that at most 3 of the next 30 years no earthquakes will occur by using an appropriate Poisson distribution.

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....
icon
Related questions
Question

Suppose that earthquakes occur in a certain region of California, in accordance with a
Poisson process, at a rate of seven per year. Assume that all required conditions for the
Poisson process hold.
a. What is the probability that in exactly three of the next eight years no
earthquakes will occur?
b. Approximate the probability that at most 3 of the next 30 years no earthquakes
will occur by using an appropriate Poisson distribution. 

2. Suppose that earthquakes occur in a certain region of California, in accordance with a
Poisson process, at a rate of seven per year. Assume that all required conditions for the
Poisson process hold.
a. What is the probability that in exactly three of the next eight years no
earthquakes will occur?
b. Approximate the probability that at most 3 of the next 30 years no earthquakes
will occur by using an appropriate Poisson distribution.
Transcribed Image Text:2. Suppose that earthquakes occur in a certain region of California, in accordance with a Poisson process, at a rate of seven per year. Assume that all required conditions for the Poisson process hold. a. What is the probability that in exactly three of the next eight years no earthquakes will occur? b. Approximate the probability that at most 3 of the next 30 years no earthquakes will occur by using an appropriate Poisson distribution.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL