3) The Census Bureau reports that 50.8% of the U.S. population is female. The Centers for...
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3) The Census Bureau reports that 50.8% of the U.S. population is female. The Centers for Disease Control & Prevention (CDC) indicates that 18.1% of the U.S. population smokes cigarettes. Furthermore, the CDC states that given a person is female, there is a 15.8% chance that she smokes cigarettes. Consider a randomly selected person from the U.S.. The following events are defined: F: a person is female S: a person smokes cigarettes a) Show that the probability of this person being female and a smoker is 8%, i.c., P(FOS)=0.08. b) What is the probability that the selected person is a female or a smoker? c) What is the probability that the selected person is a female but not a smoker? d) If the selected person is a smoker, what is the probability that the person is female? e) Are being a female and being a smoker independent events? Support your answer appropriately. 3) The Census Bureau reports that 50.8% of the U.S. population is female. The Centers for Disease Control & Prevention (CDC) indicates that 18.1% of the U.S. population smokes cigarettes. Furthermore, the CDC states that given a person is female, there is a 15.8% chance that she smokes cigarettes. Consider a randomly selected person from the U.S.. The following events are defined: F: a person is female S: a person smokes cigarettes a) Show that the probability of this person being female and a smoker is 8%, i.c., P(FOS)=0.08. b) What is the probability that the selected person is a female or a smoker? c) What is the probability that the selected person is a female but not a smoker? d) If the selected person is a smoker, what is the probability that the person is female? e) Are being a female and being a smoker independent events? Support your answer appropriately.
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To solve these probability questions we can use the definitions of conditional probability and the p... View the full answer
Related Book For
Statistics Unlocking The Power Of Data
ISBN: 9780470601877
1st Edition
Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock
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