28. The vote on a bill in the U.S. House of Representatives to increase the minimum wage was as shown in the following table: Party Democrats Republicans Independents Total Yes 187 93 1 281 No 6 138 0 144 Total 193 231 1 425 1917 a. What is the probability that a random representative voted yes, given that the representative is a Democrat? b. What is the probability that a random representative is a Democrat, given that the representative voted yes?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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28. The vote on a bill in the U.S. House of Representatives to increase the minimum wage was as shown in the
following table:
Party
Democrats
Republicans
Independents
Total
Yes
187
93
1
281
No
6
138
0
144
Total
193
231
1
425
417
a. What is the probability that a random representative voted yes, given that the
representative is a Democrat?
b. What is the probability that a random representative is a Democrat, given that the
representative voted yes?
Transcribed Image Text:28. The vote on a bill in the U.S. House of Representatives to increase the minimum wage was as shown in the following table: Party Democrats Republicans Independents Total Yes 187 93 1 281 No 6 138 0 144 Total 193 231 1 425 417 a. What is the probability that a random representative voted yes, given that the representative is a Democrat? b. What is the probability that a random representative is a Democrat, given that the representative voted yes?
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