It is known that the frequency of a database server experiencing a Poisson distributed error with an average of 2 times a week. a. What is the probability that in two weeks there will be three errors? b. What is the probability that after one day a database error occurs, the next error will occur less than four days later? c. It is known that on the third day there is not a single error, what is the probability that on the fifth day there is still no error?

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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It is known that the frequency of a database server experiencing a Poisson distributed error with an average of 2 times a week.
a. What is the probability that in two weeks there will be three errors?
b. What is the probability that after one day a database error occurs, the next error will occur less than four days later?
c. It is known that on the third day there is not a single error, what is the probability that on the fifth day there is still no error?

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