Mathematics, 28.11.2021 14:00, dinadenoirefan

An article: “Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Strength (Quality and Reliability Engr. Intl., 2012: 887-896)” examines the use of
Use a uniform distribution with a = 0.20 and b = 4.25 for the diameter X of the welds (mm).
a) Find and plot the density function of X.
b) What is the probability that the diameter exceeds 3 mm?
c) What is the probability that the diameter is within 1 mm of the mean diameter?
d) With a satisfying the condition 0.2 < a < a + 1 < 4.5, what is the probability P(a < X < a + 1)?

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An article: “Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Str...