Which of the following is true about f(x)when X has a uniform distribution over the interval [ a , b ]?
A)The values of f(x)are different for various values of the random variable X.
B)f(x)equals one for each possible value of X .
C)f(x)equals one divided by the length of the interval from a to b .
D)None of these choices.

Question

Quizplus · Accepted Answer

For a uniform distribution over the interval [a, b], the probability density function (pdf) f(x) is constant across the interval and is given by 1/(b-a), which represents the reciprocal of the interval's length. This ensures that the total area under the pdf curve over the interval [a, b] equals 1, satisfying the property of a probability distribution.

Which of the Following Is True About F(x)when X Has