[Verse 1] When outcomes scatter equal chances wide Each possibility gets the same sweet ride From rolling dice to stock price ranges clean Uniform spreads make every value seen Parameters simple: just the lowest low And highest high define the plateau [Chorus] Uniform flat, binomial curved Two distributions perfectly preserved Equal chances or success repeats Discrete probabilities can't be beat U-N-I makes everything the same B-I-N counts wins within the game [Verse 2] Bernoulli trials stack like building blocks Each independent flip or stock that rocks Success probability stays locked in place While failure fills the complementary space Count the victories from attempts you make Binomial blooms from every calculated stake [Chorus] Uniform flat, binomial curved Two distributions perfectly preserved Equal chances or success repeats Discrete probabilities can't be beat U-N-I makes everything the same B-I-N counts wins within the game [Bridge] Financial analysts need both tools sharp Uniform pricing gaps and arbitrage harps Binomial models options with precision Each branch splits into calculated decisions Mean and variance tell the deeper tale Expected values never seem to fail [Verse 3] Recognize patterns hiding in the data Uniform spans from alpha up to beta Binomial needs trials counted clear With probability held constant year by year Choose your weapon based on what you see Discrete distributions set your analysis free [Final Chorus] Uniform flat, binomial curved Two distributions perfectly preserved Equal chances or success repeats Discrete probabilities can't be beat Parameters guide your modeling way CFA candidates win the day
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