Computer simulations and laboratory measurements, Other Engineering

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Computer simulations and laboratory measurements

Assignment:

Computer simulations and laboratory measurements have indicated that the time between cycle slips is exponentially distributed; that is, the distribution function of the time between cycle slips, T, is given by

p(T) = 1 -exp (-T / T_m)

Given this distribution function, find the mean time between cycle slips and the variance about this mean as functions of T_m. If the mean time between cycle slips is 1 day, what is the probability of cycle slips less than 1 hour apart? More than 3 days apart?

Provide complete and step by step solution for the question and show calculations and use formulas.

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