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. range B. range 2. C. range D. More information is needed

Answer 1

The height of the rectangle in a uniform probability distribution represents the probability density function (pdf) of the distribution. The height is chosen to ensure that the total area under the pdf equals one.

Step-by-step explanation:

The height of the rectangle in a uniform probability distribution represents the probability density function (pdf) of the distribution. Since the total area under the pdf must equal one, the height must be chosen in such a way that the width multiplied by the height equals one. Therefore, the correct answer is B. range.

Answer 2

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