Part 2 Assume that the probability density function is f(x) = 2.0 for an interval of length 0.5 meters. Over what value should the density be centered to achieve the greatest proportion of rods within specifications? i

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 18E
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Part 2
Assume that the probability density function is f(x) = 2.0 for an interval of length 0.5 meters. Over what value should the density
be centered to achieve the greatest proportion of rods within specifications?
i
Transcribed Image Text:Part 2 Assume that the probability density function is f(x) = 2.0 for an interval of length 0.5 meters. Over what value should the density be centered to achieve the greatest proportion of rods within specifications? i
The probability density function of the length of a metal rod is f(x) = 2.0 for 2.3 <x< 2.8 meters.
Statistical Tables and Charts
Part 1
Correct.
If the specifications for this process are from 2.25 to 2.75 meters, what proportion of the rods fail to meet the specifications?
0.1
Transcribed Image Text:The probability density function of the length of a metal rod is f(x) = 2.0 for 2.3 <x< 2.8 meters. Statistical Tables and Charts Part 1 Correct. If the specifications for this process are from 2.25 to 2.75 meters, what proportion of the rods fail to meet the specifications? 0.1
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