Suppose x is a random variable best described by a uniform probability distribution with c = 20 and $\mathrm { d } = 40 . \text { Find } \mathrm { P } ( 32 \leq \mathrm { x } \leq 40 ) \text {. }$
A)0.4
B)0.5
C)0.04
D)0.08

Question

Quizplus · Accepted Answer

The probability for a uniform distribution is calculated as the length of the interval of interest divided by the total length of the distribution. Here, the interval is 32 to 40, which is 8 units long, and the total distribution is from 20 to 40, which is 20 units long. Thus, P(32 ≤ x ≤ 40) = 8/20 = 0.4.

Suppose X Is a Random Variable Best Described by a Uniform