For the probability density function (PDF) of a random variable (X) that has a uniform probability...
For the probability density function (PDF) of a random variable (X) that has a uniform probability distribution
a. the height of the PDF will decrease if the value that X takes increases
b. the height of the PDF will increase if the value that X takes increases
c. the height of the PDF can be greater than one
d. the height of the PDF must be smaller than one
Homework Answers
c. the height of the PDF can be greater than one
For a uniform probability distribution, the height of the PDF (h) will be a constant. It is calculated as, h = 1/(b-a), where a and b are the minimum and maximum values.
If (b-a) < 1, h > 1
If (b-a) > 1, h < 1
Therefore, the height of the PDF can be greater than once
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