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).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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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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