47. Considering the same website from Question 46, Let W denote the length in minutes from the time we start observing this until the 3rd hit is observed. (a) Which common continuous distribution does W have? Justify your answer. (b) What is the probability that more than 10 minutes will elapse before the 3rd hit is observed? (c) Find E(W). (d) Find V(W).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 46 

Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let X denote the length in minutes from the time we start observing this website until the 1st hit is observed

47. Considering the same website from Question 46, Let W denote the length in minutes from the time we
start observing this until the 3rd hit is observed.
(a) Which common continuous distribution does W have? Justify your answer.
(b) What is the probability that more than 10 minutes will elapse before the 3rd hit is observed?
(c) Find E(W).
(d) Find V(W).
Transcribed Image Text:47. Considering the same website from Question 46, Let W denote the length in minutes from the time we start observing this until the 3rd hit is observed. (a) Which common continuous distribution does W have? Justify your answer. (b) What is the probability that more than 10 minutes will elapse before the 3rd hit is observed? (c) Find E(W). (d) Find V(W).
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