Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 7. Find the value of a that makes the following probability statement true: $\mathrm { P } ( \mathrm { x } \leq \mathrm { a } ) = 0.75$
A)4
B)5.8
C)3
D)6

Question

Quizplus · Accepted Answer

In a uniform distribution, the probability is evenly distributed. The range is from 3 to 7, so the length of the interval is 4. To find 'a' such that P(x ≤ a) = 0.75, we calculate a = 3 + 0.75 * 4 = 6.

Suppose X Is a Random Variable Best Described by a Uniform