How To Calculate Range of Values Of A Random Variable (Binomially Distributed)

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To calculate the range of values for a binomially distributed random variable, first determine the expected value (E(x)) by multiplying the number of trials by the probability of success. Next, calculate the variance by multiplying the expected value by the probability of failure, then truncate any decimal values. The range of future values can be established by adding and subtracting the variance from E(x). It is noted that the probability of error will remain below 0.5. The discussion raises questions about the validity of these calculations and the basis for the claims made.
moonman239
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1 Calculate the expected value of variable x (or E(x)) (number of trials * probability of success)
2 Calculate the variance (expected value * probability of a failure)

Take everything to the right of the decimal in the variance off. Then the range of future values is E(x) plus/minus the variance.
 
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The probability of error will always be below .5.
 
Are you asking whether this is true? On what basis do you make these statements?
 

Thread 'Formal derivation of statement from Peano Arithmetic system'

I was reading a Bachelor thesis on Peano Arithmetic (PA). PA has the following axioms (not including the induction schema): $$\begin{align} & (A1) ~~~~ \forall x \neg (x + 1 = 0) \nonumber \\ & (A2) ~~~~ \forall xy (x + 1 =y + 1 \to x = y) \nonumber \\ & (A3) ~~~~ \forall x (x + 0 = x) \nonumber \\ & (A4) ~~~~ \forall xy (x + (y +1) = (x + y ) + 1) \nonumber \\ & (A5) ~~~~ \forall x (x \cdot 0 = 0) \nonumber \\ & (A6) ~~~~ \forall xy (x \cdot (y + 1) = (x \cdot y) + x) \nonumber...
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