year the percentage of people reporting fever is 20%, what percentage of the population has covid?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Both flu and covid produce fevers. You know
from past research that 10% of the population
gets flu each year, but it is possible to get both
covid and flu. Assume that the probability of
getting flu and covid are independent. If this
year the percentage of people reporting fever is
20%, what percentage of the population has
covid?
Studies show that due to similar transmission of
flu and covid, someone who has covid has a 20%
chance of also getting flu. What then is the
probability of someone who has flu also having
covid?
Given the conditional information above, what is
a better estimate of the percentage of people who
have covid given the 20% fever reporting?
Transcribed Image Text:Both flu and covid produce fevers. You know from past research that 10% of the population gets flu each year, but it is possible to get both covid and flu. Assume that the probability of getting flu and covid are independent. If this year the percentage of people reporting fever is 20%, what percentage of the population has covid? Studies show that due to similar transmission of flu and covid, someone who has covid has a 20% chance of also getting flu. What then is the probability of someone who has flu also having covid? Given the conditional information above, what is a better estimate of the percentage of people who have covid given the 20% fever reporting?
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