A nurse supervisor has found that staff nurses, on the average, complete a certain task in 10

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A nurse supervisor has found that staff nurses, on the average, complete a certain task in 10 minutes.

If the times required to complete the task are approximately normally distributed with a standard deviation of 3 minutes, find:

(a) The proportion of nurses completing the task in less than 4 minutes

(b) The proportion of nurses requiring more than 5 minutes to complete the task

(c) The probability that a nurse who has just been assigned the task will complete it within 3 minutes

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