




















PROBABILITY DISTRIBUTION CHARTS 



Select Distribution 

3 
PN 
ACCEPT 




Power Normal 







PDF, Reliability, Unreliability, Hazard Rate,
Cumulative Hazard Rate 











































































































































































































































































































































































































GROUP
DATA 















Average 
3.71997 















Sample Standard Deviation 
2.1074167 















Optimal Number of Groups [Sturges' Rule] 
7.6438562 















Number of Groups 
8 















Total Number of Observations 
100 















RESIDUAL
LIFETIME 















Residual Lifetime Percentile 
50.0% 















Median Residual Lifetime 
3.4230769 















Standard Error of Median Residual Lifetime 
0.1923077 















GOOGNESS
OF FIT 















Probability Distribution Function 
PN 
P 














Mean μ 
0.1279098 
P 














Standard Deviation σ 
0.2917009 
P 














Power Parameter (Shape) p 
0.01 















Number of Parameters Estimated m [m ≤ n] 
3 















Total Number of Parameters n 
3 















ChiSquare Σ(OiEi)2/Ei 
5.4054136 















Degrees of Freedom df 
4 















Test χ2 
9.487729 















Accept / Reject 
ACCEPT 















ChiSquare Rank 
4 

















































The marker P identifies the probability
distribution's parameters. 










































































































































































































































































































































































Legend 






































SYMBOL 
VARIABLE 












T1=T 
Start of Interval [Age at Start of Mission] 












T2=T+t 
End of Interval 












t=T2T1 
Duration of Interval [Mission Time] 












τ=(T1+T2)/2 
Interval Midpoint 












i 
Group 












H 
Histogram 












f(τ) 
Probability Density Function at Midpoint 












R(T) 
Reliability [Survival or Cumulative Proportion
Surviving] at T 












R(T+t) 
Reliability [Survival or Cumulative Proportion
Surviving] at T+t 












Q(T) 
Unreliability [Failure or Cumulative Proportion
Terminating] at T 












Q(T+t) 
Unreliability [Failure or Cumulative Proportion
Terminating] at T+t 












λ(τ) 
Hazard Rate at Midpoint 












Mi 
Median Residual Lifetime 












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