Since the area of the rectangle for a uniform probability distribution must equal one, in general, the height must equal: A. 1/range.
In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = wh
Where:
- A represent the area of a rectangle.
- w represent the width of a rectangle.
- h represent the length or height of a rectangle.
In a uniform probability distribution, the area of a rectangle represents the probability, and the height of a rectangle must be equal to the reciprocal of the width, so as to ensure that the total area is equal to one (1).
Since the total area under a probability distribution must be equal to one (1), we have the following:
1 = wh
h = 1/w
h = 1/range
Complete Question:
Since the area of the rectangle for a uniform probability distribution must equal one, what must the height equal, in general? Choose the correct answer below.
A. 1/range
B. range/2.
C. range
D. More information is needed