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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