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).

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)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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).

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