A machine shop produces spindles. The spindles are 16-inch rods used in a variety of equipment. A piece of equipment used in the manufacture of the spindles malfunctions on occasion and places a single gouge somewhere on the spindle. However, if the spindle can be cut so that is has 13 consecutive inches without a gouge, then the spindle can be salvaged for other purposes. Assuming that the location of the gouge along the spindle is best described by a uniform distribution, what is the probability that a defective spindle can be salvaged? The probability that a defective spindle can be salvaged is (Round to four decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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A machine shop produces spindles. The spindles are 16-inch rods used in a variety of equipment. A piece of equipment used in the manufacture of the spindles
malfunctions on occasion and places a single gouge somewhere on the spindle. However, if the spindle can be cut so that is has 13 consecutive inches without a
gouge, then the spindle can be salvaged for other purposes. Assuming that the location of the gouge along the spindle is best described by a uniform distribution, what
is the probability that a defective spindle can be salvaged?
The probability that a defective spindle can be salvaged is
(Round to four decimal places as needed.)
Transcribed Image Text:A machine shop produces spindles. The spindles are 16-inch rods used in a variety of equipment. A piece of equipment used in the manufacture of the spindles malfunctions on occasion and places a single gouge somewhere on the spindle. However, if the spindle can be cut so that is has 13 consecutive inches without a gouge, then the spindle can be salvaged for other purposes. Assuming that the location of the gouge along the spindle is best described by a uniform distribution, what is the probability that a defective spindle can be salvaged? The probability that a defective spindle can be salvaged is (Round to four decimal places as needed.)
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