Question

The following table displays the 100 senators of the 115th U.S. Congress on January 3, 2017, viewed by political party affiliation and gender.

  Male Female Total
Democrat 30 16 46
Republican  47 5 52
Independent 2 0 2
Total 79 21 100

A senator is selected at random from this group.

a. What is the probability that the senator is a woman?

 

b. What is the probability that the senator is a Republican?

 

c. What is the probability that the senator is a Republican and a woman?

 

d. Given that the senator is a woman, what is the probability that she is a Republican? Round the answer to 4 decimal places or fraction form.

 

e. Given that the senator is a Republican, what is the probability that the senator is a woman? Round the answer to 4 decimal places or fraction form.

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