Problem 5. The number of failures of an X-ray machine follows a Poisson process with an average of 1 failure every 6 months. Determine the following: What is the probability that a random X-ray machine will have more than 2 failures in a 1-year period? What is the probability that a random X-ray machine will have no failures in a 2-year period?
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The average number of failures in 6 months is given as 1. Since the Poisson process is defined as the average number of events occurring in a fixed interval, we can use this information to determine the rate parameter λ. λ = average number of events in the Show more…
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