The uniform distribution defined over the interval from 25 to 40 has the probability density function
A) f(x) = 1/40 for all x.
B) f(x) = 5/8 for 25 $\lt$ x $\lt$ 40 and f(x) = 0 elsewhere.
C) f(x) = 1/25 for 0

Question

The uniform distribution defined over the interval from 25 to 40 has the probability density function
A) f(x) = 1/40 for all x.
B) f(x) = 5/8 for 25  $\lt$ x  $\lt$ 40 and f(x) = 0 elsewhere.
C) f(x) = 1/25 for 0 < x < 25 and f(x) = 1/40 for 26  $\lt$x  $\lt$ 40.
D) f(x) = 1/15 for 25 < x $\lt$40 and f(x) = 0 elsewhere.

Quizplus · Accepted Answer

The probability density function (PDF) of a uniform distribution defined over an interval [a, b] is given by f(x) = 1/(b-a) for a ≤ x ≤ b. For the interval from 25 to 40, the length of the interval is 40 - 25 = 15, so the PDF is 1/15 for 25 ≤ x ≤ 40.

The Uniform Distribution Defined Over the Interval from 25 to 40