MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
The text discusses the specification of a range for random number generators: "Many random number generators allow users to specify the range of the random numbers to be produced. Suppose you specify that the random number \( Y \) can take any value between 0 and 3. Then the density curve of the outcomes has constant height between 0 and 3 and height 0 elsewhere." A question follows: "What is the height of the density curve between 0 and 3? Give your answer to two decimal places." There is a text box labeled "height:" for inputting the answer. The content is related to probability density functions, where the constant height over a specified interval implies a uniform distribution. The height is determined by ensuring the total area under the curve equals 1.
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Transcribed Image Text:The text discusses the specification of a range for random number generators: "Many random number generators allow users to specify the range of the random numbers to be produced. Suppose you specify that the random number \( Y \) can take any value between 0 and 3. Then the density curve of the outcomes has constant height between 0 and 3 and height 0 elsewhere." A question follows: "What is the height of the density curve between 0 and 3? Give your answer to two decimal places." There is a text box labeled "height:" for inputting the answer. The content is related to probability density functions, where the constant height over a specified interval implies a uniform distribution. The height is determined by ensuring the total area under the curve equals 1.
Expert Solution
Check Mark
Step 1: Determine the given variables.

The question is about continuous probability distribution.

Introduction :

Let, Y be the random variable which follows uniform distribution then the probability density function is given by

f space left parenthesis space y space right parenthesis space equals space fraction numerator 1 over denominator b minus a end fraction space space semicolon space a space less or equal than space y space less or equal than space b


Given :

Random no. Y take any value between 0 and 3.


To find :

Height of the density curve between 0 and 3.

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