Solution Found!
An article in Proceeding of the 33rd International ACM
Chapter 4, Problem 167E(choose chapter or problem)
An article in Proceeding of the 33rd International ACM SIGIR Conference on Research and Development in Information Retrieval [“Understanding Web Browsing Behaviors Through Weibull Analysis of Dwell Time” (2010, p. 379l– 386)] proposed that a Weibull distribution can be used to model Web page dwell time (the length of time a Web visitor spends on a Web page). For a specific Web page, the shape and scale parameters are 1 and 300 seconds, respectively. Determine the following:
(a) Mean and variance of dwell time
(b) Probability that a Web user spends more than four minutes on this Web page
(c) Dwell time exceeded with probability 0.25
Questions & Answers
QUESTION:
An article in Proceeding of the 33rd International ACM SIGIR Conference on Research and Development in Information Retrieval [“Understanding Web Browsing Behaviors Through Weibull Analysis of Dwell Time” (2010, p. 379l– 386)] proposed that a Weibull distribution can be used to model Web page dwell time (the length of time a Web visitor spends on a Web page). For a specific Web page, the shape and scale parameters are 1 and 300 seconds, respectively. Determine the following:
(a) Mean and variance of dwell time
(b) Probability that a Web user spends more than four minutes on this Web page
(c) Dwell time exceeded with probability 0.25
ANSWER:Step 1 of 5
We have Weibull distribution with parameters,
Then the Mean,
And Variance is,
