In 2008 a college was shut down because of high rates of norovirus in the student population. The following table gives the numbers of male and female students who did and did not contract the virus at that time. We will let F and M represent the event that a randomly chosen student is female and male, respectively, and Y and N represent the event that a randomly chosen student contracted the norovirus or not, respectively 

a. What is the value of P(Y) and what does it mean in the context of this situation? 

b. What is the value of P(F) and what does it mean in the context of this situation? 

c. What is the value of P(F^c) and what does it mean in the context of this situation? 

d. What is the value of P(Y and F) and what does it mean in the context of this situation? 

e. What is the value of P(Y or F) and what does it mean in the context of this situation?

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Contracted norovirus Total Yes No Female Male Total 212 124 336 479 1,528 603 1,864 1,049 1,261