For a school's computer network, the event of a network failure can be modeled as a...
For a school's computer network, the event of a network failure can be modeled as a Poisson process at a rate of .1 failures/day.
Find the probability that the next network failure will occur within 5 days.
Homework Answers
As the event of a network failure is poisson distributed, the interarrival time is exponential distributed.
Probability that the next network failure will occur within 5 days = P(T <= 5)
The formula for the same is:
λ = 0.1 = events/day
P(T<=5) = 1 - e-0.1*5 = 0.394
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