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College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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A survey found that 50% of residents from a certain region have a home phone, 33% have a cell phone, and 11% of people have both. a) If a person from the region has a home phone, what's the probability that he or she has a cell phone also? b) Are having a home phone and a cell phone independent events? Explain. c) Are having a home phone and a cell phone mutually exclusive? Explain. a) The probability that a person from the region who has a home phone also has a cell phone is (Round to three decimal places as needed.) b) Are the events independent? O A. No, because there are outcomes that are common between them. O B. Yes, because the outcome of one does not influence the probability of the other. O C. No, because the outcome of one influences the probability of the other. O D. Yes, because there are no common outcomes. c) Are the events mutually exclusive? O A. Yes, because the outcome of one does not influence the probability of the other. O B. No, because the outcome of one influences the probability of the other. O C. Yes, because there are no common outcomes. O D. No, because there are outcomes that are common between them.
Transcribed Image Text:A survey found that 50% of residents from a certain region have a home phone, 33% have a cell phone, and 11% of people have both. a) If a person from the region has a home phone, what's the probability that he or she has a cell phone also? b) Are having a home phone and a cell phone independent events? Explain. c) Are having a home phone and a cell phone mutually exclusive? Explain. a) The probability that a person from the region who has a home phone also has a cell phone is (Round to three decimal places as needed.) b) Are the events independent? O A. No, because there are outcomes that are common between them. O B. Yes, because the outcome of one does not influence the probability of the other. O C. No, because the outcome of one influences the probability of the other. O D. Yes, because there are no common outcomes. c) Are the events mutually exclusive? O A. Yes, because the outcome of one does not influence the probability of the other. O B. No, because the outcome of one influences the probability of the other. O C. Yes, because there are no common outcomes. O D. No, because there are outcomes that are common between them.
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