According to the Centers for Disease Control and Prevention (CDC) (Links to an external site.), in the 20172018 flu season, about 35.5 million Americans were infected with some form of influenza. In the 20182019 flu season (Links to an external site.), about 45 million Americans were infected. For the population of all Americans, consider the following random variables:
For any given person, let be the random variable which is equal to Yes” if they were sick with influenza in the 20172018 season and No if they were not.
Likewise, let be the random variable which is equal to Yes” if they were sick with influenza in the 20182019 season and No otherwise.
For simplicity, let’s say that the number of U.S. residents during these seasons was 327 million.
Using the numbers provided above, compute the values of and . In practical terms, what do these values represent?
Using common sense and/or your own experience, would you say the variables and are independent? Why or why not? Please explain your reasoning.
Do you think that COVID-19 and the accompanying vaccine controversy will affect yearly flu vaccine rates? Explain. Your answer can, but does not need to, make reference to independent variables. Feel free to pull from your own experience, articles, etc.
First link: https://www.cdc.gov/flu/about/burden-averted/2017-2018.htm
Second link: https://www.cdc.gov/flu/about/burden/2018-2019.html
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