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 fast 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 being assigned the task will complete it within 3 minutes.

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 fast 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 being assigned the task will complete it within 3 minutes.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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 being assigned the task will complete it within 3 minutes.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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