[Verse 1] Picture data scattered wide, each point the same No peaks or valleys hiding, uniform's the name Stocks within a trading range, bounded left and right Every outcome just as likely, probabilities unite When minimum and maximum frame your world complete Rectangle distributions make the math so neat [Chorus] Uniform, binomial, normal curves we trace Each distribution finds its financial place Flat or binary, bell-shaped destiny Master these three patterns, unlock what markets see Distribution nation, probability's foundation [Verse 2] Success or failure calling, binary the game Coin flips and bond defaults share binomial's claim Count the wins from trials, fixed attempts you make Portfolio components that can break or never break Independence matters, probability stays true Ten percent default rate guides what banks pursue [Chorus] Uniform, binomial, normal curves we trace Each distribution finds its financial place Flat or binary, bell-shaped destiny Master these three patterns, unlock what markets see Distribution nation, probability's foundation [Bridge] Bell curve reigns supreme in finance halls Stock returns and errors heed its calls Sixty-eight percent within one standard measure Ninety-five in two, asymptotic treasure Central limit theorem brings convergence near When sample sizes grow, normality appears [Verse 3] Asset price movements dance the normal way Risk models and valuations trust its sway Mean and variance parameters control the shape Standard deviation helps no data point escape Continuous and smooth, infinity's embrace Normal distribution sets the modeling pace [Chorus] Uniform, binomial, normal curves we trace Each distribution finds its financial place Flat or binary, bell-shaped destiny Master these three patterns, unlock what markets see Distribution nation, probability's foundation [Outro] Three distributions rule the analyst's domain Uniform, binomial, normal – remember the refrain When data needs a model, know which tool applies Statistical foundations never tell you lies
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