If the random variable X has a uniform distribution between 40 and 50,then P(35 ≤ X ≤ 45)is:
A)1.0
B)0.5
C)0.1
D)undefined.

Question

Quizplus · Accepted Answer

The probability P(35 ≤ X ≤ 45) for a uniform distribution between 40 and 50 is calculated based on the proportion of the interval [35, 45] that overlaps with the distribution's range [40, 50]. Since the overlap is from 40 to 45, this is 5 units out of the total range of 10 units (50 - 40), resulting in a probability of 0.5.

If the Random Variable X Has a Uniform Distribution Between