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)