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Suggested Questions for Homework or Projects

Activity Distance: Are you left handed or right handed?

Questions for Key Concepts:

1. The following is a summary table of 1000 individuals on their preference of buying "Brand 
Name" shoes.
  0-29 Years 30-50 years 50 years or older Total
Buy Brand name shoe 2500 100 500 4000
Not buy             2500 2000 1500 6000
Total 5000 3000 2000 10000

Suppose this 1000 individuals approximate the entire population well. Randomly select one individual from this population.

a) What is the probability that this individual will buy a "Brand name" shoe?

b) What is the probability that this individual will be 30 years or older?

c) What is the probability that this individual will be "30 years or older" AND "Buy Brand 
   Name Shoe"?

d) Given this individual is 30 years or older, what is the probability that this individual will
  "Buy Brand Name shoe"?

e) Is the event "30 years or older" independent of "Buying Brand name shoe"?

f) Given the individual "Not buy Brand Name shoe", determine the probability that the
   individual is younger than 30 years old.

g) Is the event "Younger than 30 years old" independent of "Not Buy Brand shoes"?
2. Fill the following empty cells so that the event of "use of Left-Right hand" is independent of "Thumb on Top" based on 1000 individuals.
  Right thumb Left    thumb Total
Right hand     900
Left hand      
Total 800   1000

Questions for Related Topics:


 
 
 

CMU, an AA/EO institution, strongly and actively 
strives to increase diversity within its community (see www.cmich.edu/aaeo/).