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The edge roughness of slit paper products increases as
Chapter 2, Problem 125E(choose chapter or problem)
Problem 125E
The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough edges, 3% of products slit with blades of average sharpness exhibit roughness, and 5% of products slit with worn blades exhibit roughness. If 25% of the blades in manufacturing are new, 60% are of average sharpness, and 15% are worn, what is the proportion of products that exhibit edge roughness?
Questions & Answers
QUESTION:
Problem 125E
The edge roughness of slit paper products increases as knife blades wear. Only 1% of products slit with new blades have rough edges, 3% of products slit with blades of average sharpness exhibit roughness, and 5% of products slit with worn blades exhibit roughness. If 25% of the blades in manufacturing are new, 60% are of average sharpness, and 15% are worn, what is the proportion of products that exhibit edge roughness?
ANSWER:
Answer
Step 1 of 1
(a)
We have given of product slit with new blades have rough edges,
of products slit with blades of average sharpness exhibit roughness, and
of products slit with worn blades exhibit roughness.
If of the blades in manufacturing are new,
are of average sharpness, and
are worn.
We are asked to find the proportion of products that exhibit edge roughness.
Let denote the event that a product exhibit surface roughness.
Let denote the event that the blades are new.
Let denote the event that the blades are average.
Let denote the event that the blades are worn.