STATISTICS I (İSTATİSTİK) - (İNGİLİZCE) Dersi Discrete Probability Distributions soru detayı:

PAYLAŞ:

SORU:

Define cumulative distribution function.


CEVAP:

Cumulative distribution function (CDF) of a discrete random variable X, denoted by F (x) and defined as,F(x)=P(X?x)=xi?x?P(X=xi)This expression for cumulative distribution function implies that it’s a cumulative probability value for random variables which are less than or equal to specific random value of xi . Through the definition of CDF, it also supplies probability values through utilizing probability mass function.For a discrete random variable X, CDFF (X) the following properties are shown.

  1. 0 ?F (x) ? 1 and
  2. If x1 ? x2 then F (x1) ? F (x2)