Solution: Suppose the time it takes to load a truck at a loading dock is exponentially distributed. An average of 4 () trucks are loaded per hour. What


Question: Suppose the time it takes to load a truck at a loading dock is exponentially distributed. An average of 4 () trucks are loaded per hour.

  1. What is the probability that it will take less than 6 minutes to load a truck?
  2. What is the probability that it will take more than 18 minutes to load a truck?
  3. What is the probability that it will take between 10 and 15 minutes to load the truck?
  4. The loading dock has increased efficiency, loading an average of 5 trucks per hour. The manager claims that 75% of the trucks will be loaded in less than 15 minutes. If the loading time is exponentially distributed, is his claim valid?

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