Cars cross a certain point in the highway in accordance with a Poisson process with rate λ = 3 cars per minute. 1. If I run blindly across the highway it takes me s = 10 seconds to cross the road. Assume that if I am on the highway when a car passes by, then I will be injured. What is the probability that I will be uninjured? 2. Suppose that I am agile enough to escape from a single car, but if I encounter 2 or more cars while attempting to cross the highways, I will be injured. However, it now takes me s = 30 seconds to cross the highway. What is the probability that I will be uninjured while crossing the highway?

Cars cross a certain point in the highway in accordance with a Poisson process with rate λ = 3 cars per minute. 1. If I run blindly across the highway it takes me s = 10 seconds to cross the road. Assume that if I am on the highway when a car passes by, then I will be injured. What is the probability that I will be uninjured? 2. Suppose that I am agile enough to escape from a single car, but if I encounter 2 or more cars while attempting to cross the highways, I will be injured. However, it now takes me s = 30 seconds to cross the highway. What is the probability that I will be uninjured while crossing the highway?

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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