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A study was conducted to determine the duration of a typical consultation in an urban medical practice. The results showed that the length of a consultation could be closely approximated by a normal distribution with a mean of 12.2 minutes and a variance of 9.37 minutes2.

a) Find the probability that a consultation would last more than 10 minutes. (3 decimal places) ANSWER IS: 0.764

b) How many of the individual patients visiting the medical centre will have a consultation time of more than 10 minutes if there are 578 individual patient consultations on a given day?

(Round your answer to the nearest whole number)

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