The following data represent political party by age from a random sample of registered Iowa voters.
17-29 30-44 45-64 65+ Total
Republican 224 340 1075 561 2200
Democrat 184 384 773 459 1800
Total 408 724 1848 1020 4000
a. Are the events "Republican" and "30-44" independent? Justify your answer.
b. Are the events "Democrat" and "65+" independent? Justify your answer.
c. Are the events "17-29" and "45-64" mutually exclusive? Justify your answer.
d. Are the events "Republican" and "45-64" mutually exclusive? Justify your answer.