I cycle for 5 miles along the road. What is the expectation of the number ofpotholes I pass?A repair crew travel along the road, repairing each pothole they pass until theyhave repaired 10 potholes. What is the expectation of the distance they travel? The potholes in a long road occur as a Poisson process of rate 4 per mile. In otherwords, if we letR(t) = the number of potholes in the first t miles of the roadthen the random variables (R(t): t > 0) form a Poisson process of rate 4.

Given that, The number of miles I cycled is miles.The rate of potholes per mile is .The number of…

Answered: The potholes in a long road occur as a…

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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The potholes in a long road occur as a Poisson process of rate 4 per mile. In other words, if we let R(t) = the number of potholes in the first t miles of the road then the random variables (R(t): t > 0) form a Poisson process of rate 4.