the distance between flaws on a long cable is exponentially distributed with mean 12 meters (m). Answer the following questions; what is the mean distance between flaws
Added by Adri-N S.
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The exponential distribution is characterized by its mean (λ), which is the average distance between events (in this case, flaws on a cable). Show more…
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The distance between flaws on a long cable is exponentially distributed with a mean of 12m. Find the probability that the distance between two flaws is greater than 15m. Find the probability that the distance between two flaws is between 10m and 20m. Find the median distance. Find the standard deviation of the distances. Find the 65th percentile of the distances.
Adi S.
4. The distance between flaws on a long cable is exponentially distributed with mean 12 m a. Find the probability that there are exactly 5 flaws in a 50 m length of cable. b. Find the probability that there are more than two flaws in a 20 m length of cable. c. Find the probability that there are no flaws in a 15 m length of cable. d. Find the probability that the distance between two flaws is greater than 15 m. e. Find the probability that the distance between two flaws is between 8 and 20 m.
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The distance between flaws on a long cable is exponentially distributed with mean 12 meters (m). Answer the following questions: (1) Find the probability that the distance between two flaws is greater than 15 m. (2) Find the probability that the distance between two flaws is between eight (8) and 20 m. (3) Find the mean distance between flaws. (4) Find the standard deviation of the distances between flaws. (5) Find the median distance between flaws. (6) Find the 65th percentile of the distances between flaws. (7) If no flaw has occurred within the last eight (8)-meter length of a cable, what is the probability that a flaw will occur within an additional length of four (4) meters? (8) If no flaw has occurred within the last 20-meter length of a cable, what is the probability that a flaw will occur within an additional length of four (4) meters? (9) Compare your answers in Part (6) and Part (7). Are they the same? Explain why.
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