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The life time of a lamp X follows exp(λ = 1/3 per hour). Hence, on average,...

  1. The life time of a lamp X follows exp(λ = 1/3 per hour). Hence, on average, 1 failure per 3 hours.

  1. Find the probability that the lamp lasts longer than its mean life.
  1. The probability that the lamp lasts between 2 to 3 hours.
  1. Find the probability that it lasts for another hour given it is operating for 2.5 hours. (6pts)
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TOPIC:Exponential distribution.

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