The distance between two subsequent rust attacks is exponentially distributed with parameter λ (the distance between subsequent events in a Poisson process is exponentially distributed), and we still assume that λ = 5 per kilometer. a) What is the expected distance between two successive rust attacks? b) What is the probability that the distance between two successive rust attacks is more than 200 meters? c) What is the probability that the distance between two successive rust attacks is less than 300 meters?

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The distance between two subsequent rust attacks is exponentially distributed with parameter λ (the distance
between subsequent events in a Poisson process is exponentially distributed), and we still assume
that λ = 5 per kilometer.
a) What is the expected distance between two successive rust attacks?
b) What is the probability that the distance between two successive rust attacks is more than 200
meters?
c) What is the probability that the distance between two successive rust attacks is less than
300 meters?
d ) What is the probability that the distance between two subsequent rust attacks is between 200
and 300 meters?

 

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