Statıstıcs I Deneme Sınavı Sorusu #803374

Which of the followings is not true about cumulative distribution function?


Cumulative distribution function defined as  F(x)=P(X≤x)= ∫x f(t)dt,−∞<x<∞. 

The cumulative distribution function probability supplies values by utilizing probability density function.

Cumulative distribution function f(x) of a continuous random variable X fulfils the following property; f(x)≥0 for all x.

Cumulative distribution function f(x) of a continuous random variable X fulfils the following property; if x1 ≤ x2 then F (x1) ≤ F (x2).

Cumulative distribution function f(x) of a continuous random variable X fulfils the following property; 0 ≤ F (x) ≤ 1.


Yanıt Açıklaması:

Not cumulative distribution function but probability density function fulfils the property of f(x)≥0 for all x.

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