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Use the data of a random sample of registered Iowa voters below to answer the following questions.                                            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) What is the probability that a randomly selected person is Republican?   b) What is the probability that a randomly selected person is either a Republican or between the ages of 30-44?   c) What is the probability that a randomly selected person is both a Republican and a Democrat?   d) Are the events Republican and Democrat mutually exclusive? Why?   e) Suppose two randomly selected voters are selected. What is the probability that both are Democrats? Note: the first person selected cannot be selected again.     f) What is the probability that a randomly selected person is a Democrat given that they are 65+?   g) Are the two events, “Democrat” and “65+” independent? Justify your answer.

Use the data of a random sample of registered Iowa voters below to answer the following questions.                                            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) What is the probability that a randomly selected person is Republican?   b) What is the probability that a randomly selected person is either a Republican or between the ages of 30-44?   c) What is the probability that a randomly selected person is both a Republican and a Democrat?   d) Are the events Republican and Democrat mutually exclusive? Why?   e) Suppose two randomly selected voters are selected. What is the probability that both are Democrats? Note: the first person selected cannot be selected again.     f) What is the probability that a randomly selected person is a Democrat given that they are 65+?   g) Are the two events, “Democrat” and “65+” independent? Justify your answer.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 46E: Assume that a survey of 282 people is taken to determine the opinions of doctors, teachers, and...
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Use the data of a random sample of registered Iowa voters below to answer the following questions.

                                           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

  1. a) What is the probability that a randomly selected person is Republican?

 

  1. b) What is the probability that a randomly selected person is either a Republican or between the ages of 30-44?

 

  1. c) What is the probability that a randomly selected person is both a Republican and a Democrat?

 

  1. d) Are the events Republican and Democrat mutually exclusive? Why?

 

  1. e) Suppose two randomly selected voters are selected. What is the probability that both are Democrats? Note: the first person selected cannot be selected again.

 

 

  1. f) What is the probability that a randomly selected person is a Democrat given that they are 65+?

 

  1. g) Are the two events, “Democrat” and “65+” independent? Justify your answer.

 

 

 

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