Question 5 The waiting time X for a processor to start processing a job has the cumulative distribution function (CDF) r20 Fx(x) = else, where 7>0 is a constant. The cost of waiting is Y = aX³ where a > 0 is another constant. a) Let t > 0 and s > 0. What is P[X > s+t| X > s]? Does X have the memoryless property? b) Does Y have the memoryless property? c) What is the probability density function (pdf) of X?

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