If electricity power failures occur according to a Poisson distribution with an average of 3 failures...

If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks:

a) Calculate the probability that there will not be more than one failure during a particular week.

b) What is the distribution of the time between power failures?

c) What is the probability that the time between two power failures is between 15 and 30 weeks?

d) What is the probability that the time between two power failures is at least 40 weeks given that it has already been 20 weeks since the last failure?

Expert Solution

orchestra answered 1 year ago

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