3D printers create objects by printing layers of material one on top of the other. Different
materials have different mean thicknesses and standard deviations. A particular part is made
by stacking 10 layers of material A, followed by 15 layers of material B, and 30 layers of
material C. The properties of these materials are shown in the table below (note the units).
Assume that the layer thicknesses are all independent. Compute the mean (in mm) and
standard deviation (in µm) of the total thickness T of the part.
Total
thickness
T
material C
Material
Average
thickness
[mm]
Standard
deviation
[µm]
material B
A
0.2
4
material A
B
0.1
3
C
0.05
0.5