A pressing economic problem in American cities is relating to the aging of their constructions. Infrastructure is deteriorating, including water lines in homes and businesses. A report from the city of Dallas stated that there are on average 35 water line breaks per 100 miles each year. In the suburbs of the DFW area, the average is 18 per 100 miles (Use R and submit your code in the PDF file).

What is the probability that in a stretch of 100 miles in the city, there are less than 30 water line breaks?

What is the probability that in a stretch of 100 miles in the city, there are 40 or more water line breaks?

What is the probability that in a stretch of 150 miles in the suburbs, there are 25 or more water line breaks?

What is the probability that in a stretch of 80 miles in the suburbs, there are less than 16 water line breaks?