4. Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. a. What is the probability that the next change occurs in less than 4.5 days? b. What is the probability that the time until the next change is greater 9.5 days? c. What is the time of the next change that is exceeded with probability 90%?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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4. Web crawlers need to estimate the frequency of changes to Web sites to maintain a current
index for Web searches. Assume that the changes to a Web site follow a Poisson process
with a mean of 6 days. Let a random variable X denote the time (in days) until the next
change.
a. What is the probability that the next change occurs in less than 4.5 days?
b. What is the probability that the time until the next change is greater 9.5 days?
c. What is the time of the next change that is exceeded with probability 90%?
Transcribed Image Text:4. Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web searches. Assume that the changes to a Web site follow a Poisson process with a mean of 6 days. Let a random variable X denote the time (in days) until the next change. a. What is the probability that the next change occurs in less than 4.5 days? b. What is the probability that the time until the next change is greater 9.5 days? c. What is the time of the next change that is exceeded with probability 90%?
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