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

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22. 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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