The number of large cracks in a length of pavement along a certain street has a Poisson distributin with a mean of 1 crack per 100 m.
(a) What is the probability there will be no cracks in a 200 m length of pavement?
(b) What is the probability the distance between two successive cracks will be more than 50 m?
i. Solve with an Exponential random variable:
ii. Solve with a Poisson random varaiable