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April 18, 2015

April 18, 2015

Posted by **KIBA** on Tuesday, March 18, 2014 at 10:26pm.

A simple random sample of adults living in a suburb of a large city was selected. The age and annual income of each adult in the sample were recorded. The resulting data are summarized in the table below.

Annual Income

Age Category $25,000–$35,000 $35,001–$50,000 Over $50,000 Total

21–30 8 15 27 50

31–45 22 32 35 89

46–60 12 14 27 53

Over 60 5 3 7 15

Total 47 64 96 207

a) What is the probability that a person chosen at random from those in this sample will be in the 31–45 age category?

b) What is the probability that a person chosen at random from those in this sample whose incomes are over $50,000 will be in the 31–45 age category? Show your work.

c) Based on your answers to (a) and (b), is annual income independent of age category for those in this sample? Explain. (7 points)

10. The following table is the assignment of probabilities that describes the age (in years) and the gender of a randomly selected American student.

Age 14–17 18–24 25–34 +35

Male 0.01 0.30 0.12 0.04

Female 0.01 0.30 0.13 0.09

a) What is the probability that the student is female?

b) What is the probability that the student is age 25–34?

c) What is the probability that the student is either male or at least 35 years old?

d) What is the probability that the student is at least 35 years old?

e) Are being a female and being at least 35 years old independent events? Provide statistical reasoning for your answer. (7 points)

Essay

- STATISTIC***HELP -
**PsyDAG**, Wednesday, March 19, 2014 at 1:23pmPlease only post your questions once. Repeating posts will not get a quicker response. In addition, it wastes our time looking over reposts that have already been answered in another post. Thank you.

See your later post.

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