Exhibit 6-1
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
-Refer to Exhibit 6-1. The probability that x will take on a value of at least 26 is
A)0.000
B)0.125
C)0.250
D)1.000

Question

Quizplus · Accepted Answer

Since x has a uniform distribution, the probability density function is constant, f(x) = 1/(28-20) = 1/8.

The probability that x will take on a value of at least 26 is equal to the area under the curve to the right of x = 26.

This area is:

∫[26,28] f(x) dx = ∫[26,28] (1/8) dx = (1/8) * (28-26) = 1/4 = 0.25

Therefore, the probability that x will take on a value of at least 26 is 0.25, or choice C.

Exhibit 6-1 Consider the Continuous Random Variable X, Which Has a Uniform