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On a particularly busy section of the Garden State Parkway

On a particularly busy section of the Garden State Parkway in New Jersey, police use radar guns to detect speeders.

Assume the time that elapses between successive speeders is exponentially distributed with a mean of 15 minutes.

a. Calculate the rate parameter f.

b. What is the probability of a waiting time less than 10 minutes between successive speeders?

c. What is the probability of a waiting time in excess of 25 minutes between successive speeders?

Assume the time that elapses between successive speeders is exponentially distributed with a mean of 15 minutes.

a. Calculate the rate parameter f.

b. What is the probability of a waiting time less than 10 minutes between successive speeders?

c. What is the probability of a waiting time in excess of 25 minutes between successive speeders?

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