Question

The number of failures, which occur in a computer network over the time interval [0, t), can be described by a Poisson process {Xt; t ? 0}. On an average, there is a failure after every 4 hours, i.e. the rate of the process is equal to ? = 0.25 per hour. a. What is the probability of at most 1 failure in a time interval of 8 hours? b. What is the probability of at least 2 failures in the time interval from 8am to 4pm? c. What is the probability of at most 1 failure in the time interval from 4pm to midnight?

          The number of failures, which occur in a computer network over the time interval [0, t), can be described by a Poisson process {Xt; t ? 0}. On an average, there is a failure after every 4 hours, i.e. the rate of the process is equal to ? = 0.25 per hour.
a. What is the probability of at most 1 failure in a time interval of 8 hours?
b. What is the probability of at least 2 failures in the time interval from 8am to 4pm?
c. What is the probability of at most 1 failure in the time interval from 4pm to midnight?

The number of failures, which occur in a computer network over the time interval [0, t), can be described by a Poisson process Xt; t ? 0. On an average, there is a failure after every 4 hours, i.e. the rate of the process is equal to ? = 0.25 per hour.
a. What is the probability of at most 1 failure in a time interval of 8 hours?
b. What is the probability of at least 2 failures in the time interval from 8am to 4pm?
c. What is the probability of at most 1 failure in the time interval from 4pm to midnight?

Added by Pilar M.

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