Discrete Uniform Distribution

Acme Limited is a car manufacturer. The company can paint the car in 3 possible colors: White, Black and Blue. Until the population is sampled, the company does not know the demand for each color. Until such time, the company should assume that probability of demand for each color equals one-third.

If White, Black and Blue denote the events "Demand for White/Black/Blue car"

P(White) = P(Black) = P(Blue) = 1/3.

The Standard Discrete Uniform Distribution is obtained by representing events E1, E₂, ....., E_K by the numbers 1, 2, ....., K.

(Remember, a random variable must assume numerical values.)

In the above example

Event X P(X) White 1 1/3 Black 2 1/3 Blue 3 1/3

It can be shown for the Standard Discrete Uniform Distribution

m     = E(X) = (K + 1)/2

s2    = V(X) = (K2 - 1)/12

Posted Date: 9/15/2012 1:32:59 AM | Location : United States

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