1.(a)(b)(c)(d)(e)State the definition ofa random variable X,the cumulative distribution function of a random variable X,identically distributed random variables, X and Y,the probability mass function of X, andthe probability density function of X.

Answered: 1. (a) (b) (c) (d) State the definition…

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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Use the probability mass function of a uniform random variable with parameters a and b tofind its mean.
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Consider a random variable V modeling the version of the software that people have installed on their computers, where the possible versions are {1, 2, 3, 4}. People are equally likely to have versions 1 and 2 and also equally likely to have versions 3 and 4. People are also x times more likely to have version 3 than version 2. (a) What is the (probability mass function) PMF of V as a function of x (b) What is the expected version of the software. Hint: the expected value of V as a function of x (c) What is the minimum value of x to ensure that the mean version is at least version 3?
Let X be the discrete random variable with the following probability mass function: 0 1 2 3 0.5 0.3 0.1 0.1 f(x) Find the value of the cumulative distribution function F(2).

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1. (a) (b) (c) (d) State the definition of a random variable X, the cumulative distribution function of a random variable X, identically distributed random variables, X and Y, the probability mass function of X, and the probability density function of X.