Table 5.

Standard range of ξ and range of deviation for σ_r = 5%, 10%, 30% of W₁ = 22 (eV).

Distribution type	Standard range of ξi	Transformation equation	σr in W1	Deviation interval of W1 = 22 (eV)
Uniform	ξi ~ U[− 1, 1]	$X_i=\frac{b-a}{2}{\xi }_i+\frac{b+a}{2}$	5%	Xi ~ U[a = 20.9, μ = 22, b = 23.11]
			10%	Xi ~ U[a = 19.8, μ = 22, b = 24.2]
			30%	Xi ~ U[a = 15.4, μ = 22, b = 28.6]
Normal	ξi ~ N (μ = 0, σ = 1)	$X_i=\mu +\sigma {\xi }_i$	5%	Xi ~ N(μ = 22, σ = 1.1)
			10%	Xi ~ N(μ = 22, σ = 2.2)
			30%	Xi ~ N(μ = 22, σ = 6.6)
Truncated normal	ξi ~ N (μ = 0, σ = 1)	$X_i=\mu +\sigma {\xi }_i$	5%	X ~ N(μ = 22, σ = 1.1, a = 20.9, b = 23.11)
			10%	Xi ~ N(μ = 22, σ = 2.2, a = 19.8, b = 24.2)
			30%	Xi ~ N(μ = 22, σ = 6.6 a = 28.6, b = 28.6)