In China approximately 70% of people are either vaccinated or have immunization from a previous virus infection. The current infection rate from the disease is about 2 per thousand people per day, shared between those that are unvaccinated and those vaccinated.  the probability of getting infected if not vaccinated is 10 times larger than the probability of getting infected if not vaccinated.  a/given the total infection rate and vaccination what would be the infection rate among the vaccinated?  b/ if someone gets infected what is the probability that they were vaccinated?  c/ draw a fiag

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In China approximately 70% of people are either vaccinated or have immunization from a previous virus infection. The current infection rate from the disease is about 2 per thousand people per day, shared between those that are unvaccinated and those vaccinated. 
the probability of getting infected if not vaccinated is 10 times larger than the probability of getting infected if not vaccinated. 
a/given the total infection rate and vaccination what would be the infection rate among the vaccinated? 
b/ if someone gets infected what is the probability that they were vaccinated? 
c/ draw a fiag

 

Expert Solution
Step 1

Let us define the following events:

E1: A person is vaccinatedE2: A person is not vaccinated

PE1=0.70, PE2=0.30

Let A denotes the event that a Person is infected.

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