Question 5.63

63. Technology Adopters. The Gallup organization published a study4 in which they categorized American technology adopters as either Super Tech Adopters (31%), Smart Phone Reliants (19%), Mature Technophiles (22%), or Tech-Averse Olders (28%). Consider the experiment of two American technology adopters at random.

  1. Construct the tree diagram for the experiment.
  2. What is the sample space?

5.1.63

(a)

image

(b) {{Super Tech Adopter, Super Tech Adopter}, {Super Tech Adopter, Smart Phone Reliant}, {Super Tech Adopter, Mature Technophile}, {Super Tech Adopter, Tech-Averse Older}, {Smart Phone Reliant, Super Tech Reliant}, {Smart Phone Reliant, Smart Phone Reliant}, {Smart Phone Reliant, Mature Technophile}, {Smart Phone Reliant, Tech-Averse Older}, {Mature Technophile, Super Tech Adopter}, {Mature Technophile, Smart Phone Reliant}, {Mature Technophile, Mature Technophile}, {Mature Technophile, Tech-Averse Older}, {Tech-Averse Older, Super Tech Adopter}, {Tech-Averse Older, Smart Phone Reliant}, {Tech-Averse Older, Mature Technophile}. {Tech-Averse Older, Tech-Averse Older}