The article "Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Strength" (Quality and Reliability Engr. Intl., 2012: 387–896) considered the use of a uniform distribution with A.20 and B = 4.25 for the diameter X of a certain ype of weld (mm). 1. Determine the pdf of X and graph it. . . What is the probability that diameter exceeds 3 mm? What is the probability that diameter is within 1 mm of the mean diameter? 1. For any value a satisfying .20 < a

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The article "Second Moment Reliability Evaluation
vs. Monte Carlo Simulations for Weld Fatigue
Strength" (Quality and Reliability Engr. Intl., 2012:
887-896) considered the use of a uniform distribution
with A = .20 and B = 4.25 for the diameter X of a certain
type of weld (mm).
a.
Determine the pdf of X and graph it.
b. What is the probability that diameter exceeds 3 mm?
c. What is the probability that diameter is within 1 mm
of the mean diameter?
d.
For any value a satisfying .20 < a <a +1 <4.25,
what is P(a < X <a + 1)?
Transcribed Image Text:The article "Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Strength" (Quality and Reliability Engr. Intl., 2012: 887-896) considered the use of a uniform distribution with A = .20 and B = 4.25 for the diameter X of a certain type of weld (mm). a. Determine the pdf of X and graph it. b. What is the probability that diameter exceeds 3 mm? c. What is the probability that diameter is within 1 mm of the mean diameter? d. For any value a satisfying .20 < a <a +1 <4.25, what is P(a < X <a + 1)?
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