// multi-utility computation suite · offline · instant · precise
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eng.Weibull-failure-probability Calculator
Calculates Weibull failure probability, reliability function, and mean time to failure (MTTF) from shape and scale parameters. Shape parameter β < 1 indicates early-life failures (infant mortality); β = 1 is random failures (exponential); β > 1 is wear-out — the bathtub curve combines all three.
Inputs
T Hours
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Eta Scale Hours
Reference formula or conversion factor shown for context.
Beta Shape
Reference formula or conversion factor shown for context.
Results
failure probability F(t)
Reference formula or conversion factor shown for context.
reliability R(t)
Reference formula or conversion factor shown for context.
hazard rate h(t) (failures/hr)
The value at the specified point or condition.
MTTF estimate (hours)
The result expressed in hours. Divide by 24 to convert to days.
F(t) = 1-exp(-(t/η)^β)
Reference formula or conversion factor shown for context.
β interpretation
Qualitative summary of what the computed numbers mean in practical terms.