Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 5. Find the value of a that makes the following probability statement true: P(x ≤ a) = 0.75.
A) 4.5
B) 3.5
C) 4.7
D) 1.5

Question

Quizplus · Accepted Answer

The uniform distribution is defined by the interval [c, d]. The probability P(x ≤ a) is calculated as (a - c) / (d - c). Setting this equal to 0.75 and solving for a gives a = 4.5.

Suppose X Is a Random Variable Best Described by a Uniform