Question

Suppose that Tommy T-Sip decides to run across Highway 6 at a specific point northwest of College Station. Cars cross that point in accordance with a Poisson process with rate λ 4 per minute. What is the probability that Tommy will make it across the highway uninjured if it takes him c seconds to cross? Assume that if he is on the highway when a car passes then he will be injured. Calculate specific probabilities for c 7, 15,20 Now suppose that Tommy can avoid a single car but will be injured if two or more cars pass during his attempt to cross the highway. What is the probability that Tommy will remain unhurt if it takes him c seconds to cross? Calculate specific probabilities for c-4,12,20.

Answer 1

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