Assume the distributions of the Strength H and Stress S are all Normal distribution or Exponential distribution, such as 1) HN(100,10²), S~N(50,10²) 2) fg (h)=0.005e-0.005/ 0≤h<∞ f (s) = 0.05e-0.05s 0≤s<∞0 Derive reliability calculation formula by stress-strength model (the derivation process is required), and give the calculated value of reliability.|

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Assume the distributions of the Strength H and Stress S are all
Normal distribution or Exponential distribution, such as
1) HN(100,10²), S~N(50,10²)
2) fg
(h)=0.005e-0.005/ 0≤h<∞ f (s) = 0.05e-0.05s 0≤s<∞0
Derive reliability calculation formula by stress-strength model (the
derivation process is required), and give the calculated value of reliability.|
Transcribed Image Text:Assume the distributions of the Strength H and Stress S are all Normal distribution or Exponential distribution, such as 1) HN(100,10²), S~N(50,10²) 2) fg (h)=0.005e-0.005/ 0≤h<∞ f (s) = 0.05e-0.05s 0≤s<∞0 Derive reliability calculation formula by stress-strength model (the derivation process is required), and give the calculated value of reliability.|
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