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To combat the spread of a viral pathogen, Merck has released a two-shot vaccine. Their vaccine is 95% effective against the virus; that is, if you have received the vaccine, and are exposed to the virus, there is only a 5% chance that you will become infected with the virus. On the other hand, if you have not received any vaccination, and are exposed to the virus, there is a 43% chance that you will become infected with the virus and spread it to others. If you have not been exposed to the virus, there is a 0% chance of you becoming infected, regardless of whether or not you are vaccinated. The probability that you will be exposed people is 23%. The current percentage of people who are vaccinated is 31%. the virus on any given day, given your typical interactions with Assume that the probability of being vaccinated is independent of the probability of being exposed to the virus. What is the probability that a random person is exposed to the virus, has been vaccinated, and is also infected? number (rtol=0.01, atol=D0.0001) Assuming that you are already vaccinated, what is the probability of being Infected? number (rtol=0.01, atol=D0.0001) You find out that your coworker was recently exposed to the virus and a test showed that he was infected. What is the probability that he was unvaccinated? number (rtol=D0.01, atol=D0.0001)

To combat the spread of a viral pathogen, Merck has released a two-shot vaccine. Their vaccine is 95% effective against the virus; that is, if you have received the vaccine, and are exposed to the virus, there is only a 5% chance that you will become infected with the virus. On the other hand, if you have not received any vaccination, and are exposed to the virus, there is a 43% chance that you will become infected with the virus and spread it to others. If you have not been exposed to the virus, there is a 0% chance of you becoming infected, regardless of whether or not you are vaccinated. The probability that you will be exposed people is 23%. The current percentage of people who are vaccinated is 31%. the virus on any given day, given your typical interactions with Assume that the probability of being vaccinated is independent of the probability of being exposed to the virus. What is the probability that a random person is exposed to the virus, has been vaccinated, and is also infected? number (rtol=0.01, atol=D0.0001) Assuming that you are already vaccinated, what is the probability of being Infected? number (rtol=0.01, atol=D0.0001) You find out that your coworker was recently exposed to the virus and a test showed that he was infected. What is the probability that he was unvaccinated? number (rtol=D0.01, atol=D0.0001)

MATLAB: An Introduction with Applications
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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To combat the spread of a viral pathogen, Merck has released a two-shot vaccine. Their vaccine is 95% effective against the virus; that is, if you have received the vaccine, and are exposed to the virus, there is only a 5% chance that you will become infected with the virus. On the other hand, if you have not received any vaccination, and are exposed to the virus, there is a 43% chance that you will become infected with the virus and spread it to others. If you have not been exposed to the virus, there is a 0% chance of you becoming infected, regardless of whether or not you are vaccinated. The probability that you will be exposed to the virus on any given day, given your typical interactions with people is 23%. The current percentage of people who are vaccinated is 31%. Assume that the probability of being vaccinated is independent of the probability of being exposed to the virus. What is the probability that a random person is exposed to the virus, has been vaccinated, and is also infected? number (rtol=0.01, atol=D0.0001) Assuming that you are already vaccinated, what is the probability of being Infected? number (rtol=0.01, atol=0.0001) You find out that your coworker was recently exposed to the virus and a test showed that he was infected. What is the probability that he was unvaccinated? number (rtol=0.01, atol=D0.0001)
Transcribed Image Text:To combat the spread of a viral pathogen, Merck has released a two-shot vaccine. Their vaccine is 95% effective against the virus; that is, if you have received the vaccine, and are exposed to the virus, there is only a 5% chance that you will become infected with the virus. On the other hand, if you have not received any vaccination, and are exposed to the virus, there is a 43% chance that you will become infected with the virus and spread it to others. If you have not been exposed to the virus, there is a 0% chance of you becoming infected, regardless of whether or not you are vaccinated. The probability that you will be exposed to the virus on any given day, given your typical interactions with people is 23%. The current percentage of people who are vaccinated is 31%. Assume that the probability of being vaccinated is independent of the probability of being exposed to the virus. What is the probability that a random person is exposed to the virus, has been vaccinated, and is also infected? number (rtol=0.01, atol=D0.0001) Assuming that you are already vaccinated, what is the probability of being Infected? number (rtol=0.01, atol=0.0001) You find out that your coworker was recently exposed to the virus and a test showed that he was infected. What is the probability that he was unvaccinated? number (rtol=0.01, atol=D0.0001)
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