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OpenStax, Introductory Statistics 2e §3.5 Tree and Venn Diagrams · Exercise 9 · Combinatorics · Sets & logic

Tree and Venn Diagrams · Exercise 9

Approximately 86.5% of Americans commute to work by car, truck, or van. Out of that group, 84.6% drive alone and 15.4% drive in a carpool. Approximately 3.9% walk to work and approximately 5.3% take public transportation.

(a) Construct a table or a tree diagram of the situation. Include a branch for all other modes of transportation to work.
(b) Assuming that the walkers walk alone, what percent of all commuters travel alone to work?
(c) Suppose that 1,000 workers are randomly selected. How many would you expect to travel alone to work?
(d) Suppose that 1,000 workers are randomly selected. How many would you expect to drive in a carpool?

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OpenStax, Introductory Statistics 2e · §3.5 Tree and Venn Diagrams · Exercise 9

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