A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive.What is P(30 ≤ X ≤ 40)?
A)0.20
B)0.40
C)0.60
D)0.80

Question

Quizplus · Accepted Answer

The probability for a continuous uniform distribution is calculated as the length of the interval of interest divided by the total length of the distribution. Here, the interval of interest is 30 to 40, which is 10 units long, and the total distribution is from 20 to 45, which is 25 units long. Thus, P(30 ≤ X ≤ 40) = 10/25 = 0.40.

A Random Variable X Is Best Described by a Continuous