Biometric Security Standing eye heights of men are normally distributed with a mean of 64.3 in. and a standard deviation of 2.6 in. (based on anthropometric survey data from Gordon, Churchill, et al.).  a. If an eye recognition security system is positioned at a height that is uncomfortable for men with standing eye heights greater than 70 in., what percentage of men will find that height uncomfortable? b. In positioning the eye recognition security system, we want it to be suitable for the tallest 98% of standing eye heights of men. What standing eye height of men separates the tallest 98% of standing eye heights from the lowest 2%?

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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Biometric Security Standing eye heights of men are normally distributed with a mean of 64.3 in. and a standard deviation of 2.6 in. (based on anthropometric survey data from Gordon, Churchill, et al.). 

a. If an eye recognition security system is positioned at a height that is uncomfortable for men with standing eye heights greater than 70 in., what percentage of men will find that height uncomfortable?

b. In positioning the eye recognition security system, we want it to be suitable for the tallest 98% of standing eye heights of men. What standing eye height of men separates the tallest 98% of standing eye heights from the lowest 2%?

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