Thicknesses of shims are normally distributed with mean 1.5 mm and standard deviation

Chapter 4, Problem 15

(choose chapter or problem)

Thicknesses of shims are normally distributed with mean \(1.5 \mathrm{~mm}\) and standard deviation \(0.2 \mathrm{~mm}\). Three shims are stacked, one atop another.

a. Find the probability that the stack is more than \(5 \mathrm{~mm}\) thick.

b. Find the 80th percentile of the stack thickness.

c. What is the minimum number of shims to be stacked so that the probability that the stack is more than \(5 \mathrm{~mm}\) thick is at least 0.99?

Equation Transcription:

Text Transcription:

1.5 mm

0.2 mm

5 mm

5 mm

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