Question

determine the following for a generalized uniform distribution covering the range from a to b where a ≤ x ≤ b. (a) e(d), assuming d > a and a ≥ 0 (b) varp[x] (c) tvarp[x]

Answer 1

The generalized uniform distribution, U(a, b), can be used to determine the mean, variance, and total variance.

Step-by-step explanation:

The generalized uniform distribution covering the range from a to b is denoted as U(a, b). Here are the answers to the provided questions:

(a) To determine E(d), we can use the formula E(d) = (a+b)/2, where d is a value greater than a.

(b) The variance of a generalized uniform distribution is given by Varp[X] = (b-a)^2/12.

(c) The total variance of a generalized uniform distribution is equal to Varp[X].