You are working quality control for a manufacturer of screws. You are sampling a particular screw as it comes off of the line. You expect the length of the screw to followa normal distribution as follows, where the mean and standard deviation are expressed in centimeters (cm) 1 50(z-2)2 p(x) 0.1 2T 1. What is the mean of the screw length? 2. What is the standard deviation of the screw length? 3. At what value does the corresponding bell curve have its absolute maximum? 4. At what values does the corresponding bell curve have its points of inflection? 5. What is the probability that a screw length will be between 1.8 and 2.2 cm?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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You are working quality control for a manufacturer of screws. You are sampling a particular screw
as it comes off of the line. You expect the length of the screw to followa normal distribution as
follows, where the mean and standard deviation are expressed in centimeters (cm)
1
50(z-2)2
p(x)
0.1 2T
1. What is the mean of the screw length?
2. What is the standard deviation of the screw length?
3. At what
value does the corresponding bell curve have its absolute maximum?
4. At what
values does the corresponding bell curve have its points of inflection?
5. What is the probability that a screw length will be between 1.8 and 2.2 cm?
Transcribed Image Text:You are working quality control for a manufacturer of screws. You are sampling a particular screw as it comes off of the line. You expect the length of the screw to followa normal distribution as follows, where the mean and standard deviation are expressed in centimeters (cm) 1 50(z-2)2 p(x) 0.1 2T 1. What is the mean of the screw length? 2. What is the standard deviation of the screw length? 3. At what value does the corresponding bell curve have its absolute maximum? 4. At what values does the corresponding bell curve have its points of inflection? 5. What is the probability that a screw length will be between 1.8 and 2.2 cm?
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