Answered: Determine the percentage of applicants…

Math

Probability

Determine the percentage of applicants who passed the written qualifying examination. (

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

To be eligible for further consideration, applicants for certain civil service positions must first pass a written qualifying examination on which a score of 80 or more must be obtained. In a recent examination, it was found that the scores were normally distributed with a mean of 75 points and a standard deviation of 5 points. Determine the percentage of applicants who passed the written qualifying examination. (Round your answer to two decimal places.)
%

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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