A survey shows that in one year, the average number of bilingual employees in an office was 42. Assume that the standard deviation is 12 and the number of bilingual employees is Normally distributed. Include an appropriately labeled and shaded Normal curve for each part. There should be three separate curves. (a) What percentage of offices have more than 45 bilingual employees? (b) What percentage of offices have less than 38 bilingual employees? (c) What percentage of offices have between 40 and 45 bilingual employees?

A survey shows that in one year, the average number of bilingual employees in an office was 42. Assume that the standard deviation is 12 and the number of bilingual employees is Normally distributed. Include an appropriately labeled and shaded Normal curve for each part. There should be three separate curves. (a) What percentage of offices have more than 45 bilingual employees? (b) What percentage of offices have less than 38 bilingual employees? (c) What percentage of offices have between 40 and 45 bilingual employees?

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 survey shows that in one year, the average number of bilingual employees in an office was 42. Assume
that the standard deviation is 12 and the number of bilingual employees is Normally distributed. Include
an appropriately labeled and shaded Normal curve for each part. There should be three separate curves.
(a) What percentage of offices have more than 45 bilingual employees?
(b) What percentage of offices have less than 38 bilingual employees?
(c) What percentage of offices have between 40 and 45 bilingual employees?

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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