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Random Variablesmedium
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A project manager models the duration of a task TTT (in hours) as a random variable with PDF f(t)=12te−t/2f(t) = \frac{1}{2}t e^{-t/2}f(t)=21​te−t/2 for t≥0t \ge 0t≥0. What is the probability that the task is completed within 444 hours?