6. (Objective: Using a Venn Diagram to visualize events] The Venn diagram below

Question

6. (Objective: Using a Venn Diagram to visualize events] The Venn diagram below depicts gender occupation of a sample of adults. Which is a male nurse"? ich region on the Venn diagram represents the event The individual the Nurse Female Region J Region 1 Region 4 a. Region 1 b. Region 2 c. Region 3 d. Region 4 the following table to answer questions (7)-(13). A random sample of college students was asked to respond to a survey about how they spend their free time on weekends. One question, summarized in the table below, asked each respondent to choose the one activity that they are most to participate in on a Saturday morning. The activity ere homework, housework outside employment,recreation or other. Homework Housework Outside Employment Recreation Other Total Male Female Total 29 15 20 26 46 23 39 62 96 104 200 47 [Objective: Apply the probability rules] If one student is randomly chosen from the group. what is the probability that the student is male? 7. a. 0.50 b 0.48 c. 0.52 d. None of the above 2oo Objective: Apply the probability rules] If one student is randomly chosen from the group, what is the probability that the student chose "recreation"' as their most likely activity on a Saturday morning? 8. 0.310 62 b. 0.195 c. 0.115 d. None of the above 9. [Objective: Apply the probability rules] If one student is randomly chosen from the group, what is the probability that the student is male and chose "outside employment" as their most likely activity on a Saturday morning? a. 0.13 b. 0.23 d. None of the above Copyright 2013 Pearson Education, Inc

Explanation / Answer

6. c. Region 3 (Region 3 mean nurse and not female, which means a male nurse)

7. P(male) = 96/200 = 0.48

8. P(recreation) = 62/200 = 0.310

9. P(male and outside employment) = 20/200 = 0.10 (option c)

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