The distance between major cracks in a highway follows a [1-parameter] exponential distribution with a mean of 5 miles. a. What is the probability that there are no major cracks in a 10-mile stretch of the highway? b. What is the standard deviation of the distance between major cracks? c. What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? d. Given that there are no cracks in the first 5 miles inspected, what is the probability that there are no major cracks in the next 10 miles inspected?

Fig: 1