16. The following data represent political party by age from a random sample of registered voters. Republican Democrat Total 17-29 224 184 408 30-44 340 384 724 45-64 1075 773 1848 65+ 561 459 1020 Total 2200 1800 4000 a) Are the events "Republican" and "30-44" independent? Justify your answer and write answer as a simplified fraction. b) Are the events "Democrat" and "65 +" independent? Justify your answer and write answer as a simplified fraction.
16. The following data represent political party by age from a random sample of registered voters. Republican Democrat Total 17-29 224 184 408 30-44 340 384 724 45-64 1075 773 1848 65+ 561 459 1020 Total 2200 1800 4000 a) Are the events "Republican" and "30-44" independent? Justify your answer and write answer as a simplified fraction. b) Are the events "Democrat" and "65 +" independent? Justify your answer and write answer as a simplified fraction.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
number 16
Answer a & b
Transcribed Image Text:16. The following data represent political party by age from a random sample of registered
voters.
Republican
Democrat
Total
17-29
224
184
408
30-44
340
384
724
45-64
1075
773
1848
65+
561
459
1020
Total
2200
1800
4000
a) Are the events "Republican" and "30-44" independent? Justify your answer and write
answer as a simplified fraction.
b) Are the events "Democrat" and "65 +" independent? Justify your answer and write
answer as a simplified fraction.
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.
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