Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

In the state of Texas 58% of the population is vaccinated. Assume that 80% of people that are vaccinated do not get COVID-19. People that

image text in transcribed
In the state of Texas 58% of the population is vaccinated. Assume that 80% of people that are vaccinated do not get COVID-19. People that are not vaccinated are 3 times more likely to get COVID-19. a.) Draw and completely fill out the tree diagram representing the probabilities in this problem. b.) What is the probability of being vaccinated if you have tested positive? c.) If the rate of vaccination in Texas went up to 80%, what would be the probability of being vaccinated if you have tested positive? d.) A breakthrough infection is when you are vaccinated but still contract COVID. As more people are getting vaccinated, we are observing more breakthrough infections. Compare your results from parts (b) and (c). When the vaccination rates increase, is there a higher, lower, or same probability of being vaccinated if you have tested positive? Using Bayes Theorem, interpret this finding (specifically interpret the numerator and denominator in Bayes Theorem). As part of your solution, create a table that has different values of the probability of vaccination along with the associated numerator and denominator in the Bayes equation, as well as the associated probability of being vaccinated given a positive test

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Several Real Variables

Authors: Shmuel Kantorovitz

1st Edition

3319279564, 9783319279565

More Books

Students also viewed these Mathematics questions