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3.4 Exercise 7

Avg difficulty 2.5

the table shows a random sample of 200 cyclists and the routes they prefer. Let O = older and H = hilly path.

Age Group Lake Path Hilly Path Wooded Path Total
Younger 45 38 27 110
Older 26 52 12 90
Total 71 90 39 200

  1. Out of the older group, what is the probability that the cyclist prefers a hilly path?
  2. Are the events “being older” and “preferring the hilly path” independent events?

OpenStax Introductory Business Statistics 2e, 3.4 Contingency Tables and Probability Trees, exercise 7

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Adapted from Introductory Business Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Business Statistics 2e. Imported at revision 50ec917.