Thursday
July 31, 2014

Homework Help: STATISTIC***HELP

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

Show all your work. Indicate clearly the methods you use because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation.

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
2130 8 15 27 50
3145 22 32 35 89
4660 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 3145 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 3145 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 1417 1824 2534 +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 2534?
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)

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