Assume that X and Y are independent measurements with uncertainties σx = 0.3 and σy = 0.2. Find the uncertainties in the following quantities:
b. X + 2Y
c. 2X – 3Y
Step 1 of 3
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:
Here we have a constant c = 4
Hence, the uncertainty of 4X is 1.2.
Step3 of 4:
Hence, the uncertainty of X + 2Y is 0.50.
Step4 of 4:
Hence, the uncertainty of 2X - 3Y is 0.8485.
Textbook: Statistics for Engineers and Scientists
Author: William Navidi
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.