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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

User Behdad
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2 Answers

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Final answer:

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.

User Meir Tseitlin
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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

User Jonnybazookatone
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7.8k points

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