Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Cumulative probability is a random variable determined by adding the probability density functions altogether, and its calculation can be defined as follows:
Cumulative function calculation:
- Random variable distributions are described using the cumulative distribution function.
- It can be applied to a discrete, continuous, or mixed variable to describe the probability.
Given:
[tex]\to f(x)= \sqrt{x^2-1} \\\\\to g(x) = \sqrt{x^2+1}[/tex]
Find:
[tex]\to f(g(x))[/tex] and [tex]g(f(x))[/tex]
[tex]\to f(g(x))[/tex]
[tex]\to f(\sqrt{x^2+1})\\\\\to \sqrt{\sqrt{(x^2-1)+1}} \\\\\to \sqrt{\sqrt{x^2-1+1}} \\\\\to \sqrt{\sqrt{x^2}} \\\\\to \sqrt{x}} \\\\[/tex]
[tex]\to g(f(x))\\\\\to g(\sqrt{x^2-1})\\\\\to \sqrt{\sqrt{(x^2+1)-1}} \\\\\to \sqrt{\sqrt{x^2+1-1}} \\\\\to \sqrt{\sqrt{x^2}} \\\\\to \sqrt{x} \\\\[/tex]
Find out more about the cumulative function here:
brainly.com/question/15353924
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
