A certain outpatient medical procedure has five steps that must be performed in sequence.
(a) Assuming that the time (in minutes) required for each step is an independent random variable, find the mean and standard deviation for the total time.
(b) Why might the assumption of independence be doubtful?

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Step Mean (minutes)s Standard Deviation (minutes) Patient check-in Pre-op preparation Medical procedure Recovery Check-out and discharge 15 30 25 45 20 4 6 10