# The distance between major cracks in a highway follows an exponential distribution with a mean of 15 miles. What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? Please enter the answer to 3 decimal places.

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The distance between major cracks in a highway follows an exponential distribution with a mean of 15 miles. What is the probability that the first major crack occurs between 12 and 15 miles of the start of inspection? Please enter the answer to 3 decimal places.

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Step 1

In this question, it has been given that major cracks in a highway follows an exponential distribution with mean 15 miles. We need to find the probability that the first major crack occurs between 12 and 15 miles of the start of inspection.

Step 2

We have the value of mean which is 15 miles, we need to first f...

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