The probability density function for a uniform distribution ranging between 2 and 6 is _____.
A) 4
B) undefined
C) any positive value
D) .25

Question

Quizplus · Accepted Answer

The probability density function for a uniform distribution is constant within the range and zero outside the range. Therefore, in this case, the range is from 2 to 6, and the area under the probability density function must equal 1 (since the total probability of all possible values is always equal to 1). Thus, the height of the rectangular probability density function must equal 1/(6-2) = 0.25. Therefore, the answer is D.

The Probability Density Function for a Uniform Distribution Ranging Between