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A film-coating process produces films whose thicknesses are normally distributed with a mean of 110 microns and a

standard deviation of 10 microns. For a certain application, the minimum acceptable thickness is 90 microns.

 

a) What proportion of films will be too thin?

b) To what value should the mean be set so that only 1% of the films 

    will be too thin?

c) If the mean remains at 110, what must the standard deviation be

    so that only 1% of the films will be too thin?

Top Answer

a. 0.0228 b.mean =... View the full answer

IMG_20200212_071002.jpg

Given , M= 110, 5= 10
the minimory acceptable thickness = 90
a
at x= 90
2=
90- 110
10
2 = - 2
90
110
P- Value = 0.02 28
2--2
the proportion of films that will be too thin is 0.0298
b) from the...

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