Distance between major cracks


The distance between major cracks in a highway follows an 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 probability that there are two major cracks in a 10-mile stretch of the highway?

(c) What is the standard deviation of the distance between major cracks?

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