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Back to 3.3 Two Basic Rules of Probability

3.3 Exercise 35

Avg difficulty 2.5

According to the 2019 U.S. Census, approximately 331,449,281 people live in the United States. Of these people, 67,800,000 speak a language other than English at home. Of those who speak another language at home, 61.6% speak Spanish.

Let: E = speaks English at home; E' = speaks another language at home; S = speaks Spanish.

Finish each probability statement by matching the correct answer.

Probability Statements Answers
a. P(E′) = P \left(E '\right) = i. 0.7954
b. P(E) = P \left(E\right) = ii. 0.616
c. P(S ∩ E′) =P \left(S \cap E '\right) = iii. 0.2046
d. P(S | E′) = P \left(\right. S \left|\right. E ' \left.\right) = iv. 0.1260

OpenStax Introductory Business Statistics 2e, 3.3 Two Basic Rules of Probability, exercise 35

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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.