Statıstıcs I Deneme Sınavı Sorusu #803499
Probability density function f (x) of normal distribution has the following property;
f (x) ? 0 for all x values
Which of the statements explains the property above?
Probability density function f (x) of normal distribution has the following property;
f (x) ? 0 for all x values
Which of the statements explains the property above?
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Probability density function of random variable x obtain the non-negative values |
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The area under the probability density function f (x) always equivalent to 1 in the definition interval of the random variable X. |
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Normal distribution curve has a similar shape on both sides of the mean x=µ. |
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The tails of the probability function goes to infinity and at no time crosses or touches the x axis. |
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P (X < µ ) = P (X > µ ) =0.5. |
First property assures that probability density function of random variable x obtain the non-negative values at all times. From the shape of the probability density function curve it’s obvious that pdf, f (x) decreases as the random variable value goes away from the mean, µ. Likewise, probability density functionf (x) increases as the random variable value gets closer to the mean, µ.
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