Use the table of 200 past results to estimate the fraction of reactions less than a final temperature of 272 K and a binomial model to solve parts a-d: (4) 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 probability that at least one crack requires repair in 1/2 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, what do you think about the assumption of a Poisson distribution for the number of cracks that require repair?