CHAPTER 4 Review Exercises 197 7. If 1 of the 1602 subjects is randomly selected, find the probability of getting 1 who had the vaccine treatment or developed flu. 8. If 1 of the 1602 subjects is randomly selected, find the probability of getting 1 who had the vaccine treatment and developed flu. 9. Find the probability of randomly selecting 2 subjects without replacement and finding that they both developed flu. 10. Find the probability of randomly selecting 1 of the subjects and getting 1 who developed flu, given that the subject was given the vaccine treatment. In Exercises 1–10, use the data in the accompanying table and express all results in decimal form. (The data are from “The Left-Handed: Their Sinister History,” by Elaine Fowler Costas, Education Resources Information Center, Paper 399519.) Writes with Left Hand? Yes No Male 23 217 Female 65 455 1.Female If one of the subjects in the study is randomly selected, find the probability of getting a female. Does it appear that the proportion of females is reasonably close to the proportion of females in the general population? 2.Lefty Given Female Find the probability of randomly selecting one of the study subjects and getting someone who writes with their left hand given that the selected person is a female. 3.Female Given Lefty Find the probability of randomly selecting one of the study subjects and getting a female given that the selected person writes with their left hand. 4. Lefty or Female Find the probability of randomly selecting one of the study subjects and getting someone who writes with their left hand or is a female. 5. Lefty or Male Find the probability of randomly selecting one of the study subjects and getting someone who writes with their left hand or is a male. 6.Both Lefties If two of the study subjects are randomly selected without replacement, find the probability that they both write with their left hand. 7.Both Lefties If two of the study subjects are randomly selected with replacement, find the probability that they both write with their left hand. 8. Complement If L represents the event of randomly selecting one of the study subjects and getting someone who writes with their left hand, what does L represent? Find the value of P1L2. 9. Complement If M represents the event of randomly selecting one of the study subjects and getting someone who is a male, what does M represent? Find the value of P1M2. 10.All Three Lefties If three of the study subjects are randomly selected without replacement, find the probability that they all write with their left hand. If we did get three lefties when three subjects were randomly selected, would that be a significantly high number of lefties? Review Exercises
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