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8: Probability and Statistics Solvers and Properties
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Core Algorithms
Lifetime of a Component
Find the probability that a component is still working after
hours, given that it has survived for 300 hours, if the component has a Weibull distribution with parameters 2 and 1000.
In[1]:=
X
prob = Probability[x >= a \[Conditioned] x >= 300, x \[Distributed] WeibullDistribution[2, 1000], Assumptions > a > 0];
In[2]:=
X
Labeled[Plot[prob, {a, 0, 1700}, PlotRange > {0, 1}, Filling > Axis, PlotStyle > Thick, FillingStyle > Hue[.1, .8, .9], ImageSize > 400], Style[Row[{"Pr[Life \[GreaterEqual] a \[Conditioned] Life \ \[GreaterEqual] 300] = ", prob}], FontFamily > "Verdana"]]
Out[2]=