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. What is the height of the density curve between 0 and 3? Give your answer to two decimal places. height:
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. What is the height of the density curve between 0 and 3? Give your answer to two decimal places. height:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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

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
Given :
Random no. Y take any value between 0 and 3.
To find :
Height of the density curve between 0 and 3.
Step by step
Solved in 3 steps with 3 images

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