The article Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Strength (Quality and Reliability

Question:

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 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)?
Distribution
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