AI Tutor
Back to 3.4 Contingency Tables and Probability Trees

3.4 Exercise 13

Avg difficulty 2.5

the table relates the weights and heights of a group of individuals participating in an observational study.

Weight/height Tall Medium Short Totals
Overweight 18 28 14
Typical Weight Range 20 51 28
Underweight 12 25 9
Totals
  1. Find the total for each row and column
  2. Find the probability that a randomly chosen individual from this group is Tall.
  3. Find the probability that a randomly chosen individual from this group is Overweight and Tall.
  4. Find the probability that a randomly chosen individual from this group is Tall given that the individual is Overweight.
  5. Find the probability that a randomly chosen individual from this group is Overweight given that the individual is Tall.
  6. Find the probability a randomly chosen individual from this group is Tall and Underweight.
  7. Are the events Overweight and Tall independent?

OpenStax Introductory Business Statistics 2e, 3.4 Contingency Tables and Probability Trees, exercise 13

AI Tutor

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