using the discrete RV X whose CDF is given below, B = x*0.58, mathematically describe the PMF of (B) , what is P[B<2.1] ? and what is the standard deviation of σ[B]? The image depicts a step function, which represents the cumulative distribution function (CDF) of a discrete random variable $ X $. The function is denoted as $ F_X(x) $.### Graphical Explanation:- **Axes:** - The horizontal axis (x-axis) represents the variable $ x $. - The vertical axis (y-axis) corresponds to $ F_X(x) $, the value of the cumulative distribution function.- **Function Characteristics:** - The graph is composed of horizontal line segments, indicating a step-wise increase in the function value at discrete points on the x-axis. - The horizontal segments represent the probability mass at specific values of $ x $. - The function starts at $ F_X(1) = 0 $ (indicated by an open circle at $ x = 1 $). - The steps rise at discrete points corresponding to specific x-values (e.g., steps at $ x = 2, 3, 4, $ etc.), with the height of each step reflecting the cumulative probability.- **Convergence:** - The graph visually indicates that as $ x $ increases, $ F_X(x) \to 1 $. This behavior is typical for CDFs, reflecting the sum of probabilities converging to 1 as $ x $ approaches infinity.- **Notation:** - Annotations on the graph describe the convergence: $ F_X(x) \to 1 $ as $ x \to \infty $.This step function is an essential concept in probability theory, demonstrating how cumulative probabilities accumulate in discrete scenarios, and it serves as a foundational tool for analyzing random variables.

From the above CDF plot we have calculated the pmf values for different values of x.Now to…

Answered: using the discrete RV X whose CDF is…

using the discrete RV X whose CDF is given below, B = x*0.58, mathematically describe the PMF of (B) , what is P[B<2.1] ? and what is the standard deviation of σ[B]?

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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