A uniform distribution is a continuous probability distribution whereevery value of X on an interval is equally likely to be the outcome.If X is defined on the interval [a,b], then when graphed the densityfunction for the distribution will be a horizontal line of height withdomain [a,b].Probabilities on a continuous random variable can be determined bycalculating the area under the curve of the graph of the densityfunction for the distribution.In general: For a uniform distribution function defined on [a,b]P(X < c) ==P(X> c) ==c-ab-ab-caP(c < X < d) = = where c 8.8)

From the provided information, X is random variable with a uniform distribution for 2 < X <…

Answered: A uniform distribution is a continuous…

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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Let X be a random variable whose probability density function is plotted below. If one was to generate X by passing a uniform (0, 1) random variable through a function, then what function would you use? (your answer should be a function of x). 0.9- 0.8- 0.7- 0.6- 0.5 qula Snip 0.4 0.3- 0.2- 0.1 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0
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. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.82 and 0.98? (c) What is the probability of generating a number greater than 0.94? ... (a) Choose the correct graph of the uniform density function below. A. В. OC. ADensity 1.2- ADensity 1.2- 1- ADensity 1.2- 1 1. 0.8- 0.6- 0.4- 0.2- 0- 0.8- 0.6- 0.4- 0.2- 0- 0.8- 0.6- 0.4- 0.2- 0+ X 0.2 0.4 0.6 0.8 1 1.2 0.2 0.4 0.6 0.8 1 1.2 0.2 0.4 0.6 0.8 1 1.2 (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.)
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