2-parameter Weibull distribution CDF(x)=1-e-(x/η)α

Distribution mean: Scale parameter η : Weibull 5th percentile:
Distribution cov: Shape parameter α : mean-to-5th ratio:
 

Find Γ(1+x) where 0 ≤ x ≤ 1

x =     Γ(1+x) =

Find Γ(z) where 0 ≤ z

x =     Γ(z) =