Exponential distribution with a mean


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 two separate 5-mile stretches of the highway?

b) 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?

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Basic Statistics: Exponential distribution with a mean
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