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Assume that X and Y are independent measurements with

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 1E Chapter 3.2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 1E

Assume that X and Y are independent measurements with uncertainties σx = 0.3 and σy = 0.2. Find the uncertainties in the following quantities:

a. 4X

b. X + 2Y

c. 2X – 3Y

Step-by-Step Solution:
Step 1 of 3

Solution 1E

Step1 of 4:

We have an independent variable X with uncertainty .

Let Y be the independent variable with uncertainty.

Here our goal is:

a).We need to find uncertainty of 4X.

b).We need to find uncertainty of X + 2Y.

c).We need to find uncertainty of 2X - 3Y.


Step2 of 4:

a).

Here we have a constant c = 4

       

 

Hence, the uncertainty of 4X is 1.2.


 Step3 of 4: 

b).

Consider,

                   =

                =

           =

=

                                                   = 0.50

Hence, the uncertainty of X + 2Y is 0.50.


Step4 of 4:

c).

                      =

                  =

         =

                                                  =

                                                  = 0.8485 

Hence, the uncertainty of 2X - 3Y is 0.8485.


 

 

Step 2 of 3

Chapter 3.2, Problem 1E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Since the solution to 1E from 3.2 chapter was answered, more than 1973 students have viewed the full step-by-step answer. This full solution covers the following key subjects: uncertainties, measurements, independent, Find, quantities. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 1E from chapter: 3.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “Assume that X and Y are independent measurements with uncertainties ?x = 0.3 and ?y = 0.2. Find the uncertainties in the following quantities:a. 4X________________b. X + 2Y________________c. 2X – 3Y” is broken down into a number of easy to follow steps, and 31 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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Assume that X and Y are independent measurements with