How do you perform Monte Carlo simulation for tolerance analysis and interpret the results?

Monte Carlo tolerance simulation involves: 1) Define probability distributions for each dimension (normal, uniform, skewed based on process data), 2) Generate thousands of random samples within tolerance limits, 3) Calculate assembly response for each iteration, 4) Analyze output distribution to determine mean shift, standard deviation, and defect probability, 5) Calculate process capability indices (Cp, Cpk) for assembly, 6) Identify sensitivity of assembly response to input variations (contribution analysis). Results show realistic yield predictions accounting for non-normal distributions and non-linear assembly functions, unlike RSS which assumes linearity and normality.