The following data is from the 100 senators in the 116th senate.  Round all answers to 5 decimal places.    Male Female Democrat 28 17 Republican 44 9 Independent 2 0   Determine the probability that a randomly selected senator is a democrat given  that the person is female.   Determine the probability that a randomly selected senator is female given that

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The following data is from the 100 senators in the 116th senate.  Round all answers to 5 decimal places.

  

Male

Female

Democrat

28

17

Republican

44

9

Independent

2

0

 

  1. Determine the probability that a randomly selected senator is a democrat given

 that the person is female.

 

  1. Determine the probability that a randomly selected senator is female given that

 they are a democrat.

 

  1. Determine the probability that a randomly selected senator is a female democrat.

 

  1. Determine the probability that a randomly selected senator is a democrat.

 

  1. Are the events being a democrat and being female mutually exclusive for these

 senators? write yes or no.

  1.           Are the events being a democrat and being female independent for these senators? 
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