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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
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.
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