Statıstıcs I Deneme Sınavı Sorusu #843936

I. f (x) ? 0 for all x.

II. the area under probability density function between points a and b is equal to 1

III. P(a ? X ? b) is equal to 1

Which of the statements should the probability density function satisfy?


Only I

Only II

I and II

I and III

II and III


Yanıt Açıklaması:

For a continuous random variable X, probability density function f (x) must satisfy the following
properties, 

(i) f (x) ? 0 for all x,

(ii) the integral of f(x) between positive infinite and negative infinite is equal to 1

(iii) P(a ? X ? b) is equal to the area under probability density function between points a and b.

The answer is A.

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