Question: A patient has a doctor's appointment that is scheduled for 9:40 A.M. However, the amount of time after the scheduled time that the doctor's consultation

A patient has a doctor's appointment that is scheduled for 9:40 A.M. However, the amount of time after the scheduled time that the doctor's consultation actually starts has a normal distribution with a mean of 22 minutes and a standard deviation of 4 minutes. The doctor's consultation lasts for a period that has a normal distribution with a mean of 17 minutes and a standard deviation of 5 minutes. After the doctor's consultation has finished, the patient visits the laboratory and then the pharmacy. It takes the patient 1 minute to go from the doctor's consultation to the laboratory, and 1 minute to go from the laboratory to the pharmacy. The amount of time spent at the laboratory has a normal distribution with a mean of 11 minutes and a standard deviation of 3 minutes, and the amount of time spent at the pharmacy has a normal distribution with a mean of 15 minutes and a standard deviation of 5 minutes. If the times taken by each component of the patient's visit are all independent, what is the probability that the patient will be finished by 11:00 A.M?

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