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Cars cross a certain point in the highway in

Chapter 9, Problem 9.2

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QUESTION:

Cars cross a certain point in the highway in accordancewith a Poisson process with rate = 3 perminute. If Al runs blindly across the highway, whatis the probability that he will be uninjured if theamount of time that it takes him to cross the roadis s seconds? (Assume that if he is on the highwaywhen a car passes by, then he will be injured.) Dothis exercise for s = 2, 5, 10, 20.

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QUESTION:

Cars cross a certain point in the highway in accordancewith a Poisson process with rate = 3 perminute. If Al runs blindly across the highway, whatis the probability that he will be uninjured if theamount of time that it takes him to cross the roadis s seconds? (Assume that if he is on the highwaywhen a car passes by, then he will be injured.) Dothis exercise for s = 2, 5, 10, 20.

ANSWER:

Problem 9.2

Cars cross a certain point in the highway in accordance with a Poisson process with rate ? = 3 per minute. If Al runs blindly across the highway, what is the probability that he will be uninjured if the amount of time that it takes him to cross the road is s seconds? (Assume that if he is on the highway when a car passes by, then he will be injured.) Do this exercise for s = 2, 5, 10, 20

                                                              Step by Step Solution

Step 1 of 4

Given,

As we know that,

Now, A1 blindly will be injured if there is at least one car on the highway in  minutes.

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