**Title: Understanding Uniform Probability Distribution**The random-number generator on calculators randomly generates a number between 0 and 1. The random variable \(X\), the number generated, follows a uniform probability distribution.1. **Identify the Graph of the Uniform Density Function:** - Choose the correct graph of the uniform density function from the options below: **A.**, **B.**, **C.** Analyze the visual representation of each graph. The correct graph for a uniform distribution between 0 and 1 is a horizontal line representing constant probability within the range, over an interval on the x-axis from 0 to 1, with a height of 1 to cover an area of 1.2. **Probability Calculations:** - **(b) What is the probability of generating a number between 0.56 and 0.97?** - Calculate and simplify your answer by finding the difference between 0.97 and 0.56, since it is a uniform distribution. - **(c) What is the probability of generating a number greater than 0.84?** - Calculate and simplify your answer by subtracting 0.84 from 1, representing the upper limit of the distribution.**Graphs Explanation:**- Each graph depicts a rectangle with the x-axis labeled from 0 to 1.2.- The y-axis is labeled "Density" from 0 to 1.2.**Choices:**- **Graph A:** Displays a horizontal line between 0 and 1 at a height of 1 on the y-axis.- **Graph B:** Displays a horizontal line from just over 0 to 1 at a height of approximately 0.8.- **Graph C:** Displays a horizontal line starting after 0 and ending before 1 at a lower height.The correct representation for a uniform distribution between 0 and 1 is Graph A.

Given,A random variable X~U(0,1)f(x)=11-0 ; 0≤x≤1f(x)=11 ; 0≤x≤1f(x)=1 ; 0≤x≤1

Answered: The random-number generator on…

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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