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Distance between flaws on a long cable

The distance between flaws on a long cable is exponentially distributed with mean 12 m.

a. Find the probability that the distance between two flaws is greater than 15 m.

b. Find the probability that the distance betweentwo flaws is between 8 and 20 m.

c. Find the median distance.

d. Findthe standard deviation of the distances.

e. Find the 65th percentile of the distances.

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