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The lifetime of an alkaline battery (measured in hours) is exponentially distributed with = 0.05. What is the mean and standard deviation of the battery's

The lifetime of an alkaline battery (measured in hours) is exponentially distributed with = 0.05.

  1. What is the mean and standard deviation of the battery's lifetime?
  2. Find the probability that a battery will last between 10 and 15 hours.
  3. Sketch an appropriate graph to show the distribution in (ii) above.
  4. What is the probability that a battery will last for more than 20 hours?

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