Given the function below, solve for the following: F(y) = {y/6, −2 < y < 4 0, elsewhere a. Verify that f(x) is a density function. b. Find the cumulative distribution function. c. List the cumulative distribution function.

Given the function below, solve for the following: F(y) = {y/6, −2 < y < 4 0, elsewhere a. Verify that f(x) is a density function. b. Find the cumulative distribution function. c. List the cumulative distribution function.

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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Question

Given the function below, solve for the following:
F(y) = {y/6, −2 < y < 4
0, elsewhere
a. Verify that f(x) is a density function.
b. Find the cumulative distribution function.
c. List the cumulative distribution function.
d. Draw the Probability Mass Function Plot

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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