One of the hazards to an existing underground pipeline is due to improperly conducted excavations. consider a systemconsisting of 100 miles of pipeline. suppose the number of excavations along this pipeline over the next year follows apoisson process with a mean rate of 1 per 50 miles. forty percent of the excavations are expected to result in damage tothe pipeline. assume the events of damage between excavations are statistically independent.(a) what is the probability that there will be at least two excavations along the pipeline next year? (b) suppose that two excavations will be performed. what is the probability that the pipeline will be damaged? (c) what is the probability that the pipeline will not be damaged from excavations next year?