The life of a certain type of device has an exponentially distributed failure with rate .008 per day. a) What is the mean time to failure? b) What is the probability that 200 days will pass before a failure is observed? c) What is the probability that 4 of the next 6 failures observed will occur after 200 days have passed? d) What is the probability that at most 3 failures will occur in 200 days

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. The life of a certain type of device has an exponentially distributed failure with rate .008 per day.
    a) What is the mean time to failure?
  2. b) What is the probability that 200 days will pass before a failure is observed?
  3. c) What is the probability that 4 of the next 6 failures observed will occur after 200 days have
    passed?
  4. d) What is the probability that at most 3 failures will occur in 200 days?

 

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