The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile (a) What is the probability that there are no cracks that require repair in 5 miles of highway (b) What is the probabi...

c The assumptions of a Poisson process require that the pro ...

The number of cracks in a section of interstate highway that are significant enough to require repair

Question:

The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson with a mean of two cracks per mile.
(a) What is the probability that there are no cracks that require repair in 5 miles of highway?
(b) What is the probability that at least one crack requires repair in mile of highway?
(c) If the number of cracks is related to the vehicle load on the highway and some sections of the highway have a heavy load of vehicles whereas other sections carry a light load, how do you feel about the assumption of a Poisson for the number of cracks that require repair? Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...