Question

According to America's Families and Living Arrangements, published by the U.S. Census Bureau, 51.5% of U.S. adults are female, 10.4% of U.S. adults are divorced, and 6.0% of U.S. adults are divorced females. For a U.S. adult selected at random, let F = event the person is female, and D = event the person is divorced. a. Obtain P(F), P(D) and P(F ? D) b. Determine P(F ? D), and interpret your answer in terms of percentages. c. Find the probability that a randomly selected adult is male.

          According to America's Families and Living Arrangements, published by the U.S. Census Bureau, 51.5% of U.S. adults are female, 10.4% of U.S. adults are divorced, and 6.0% of U.S. adults are divorced females. For a U.S. adult selected at random, let
F = event the person is female, and
D = event the person is divorced.

a. Obtain P(F), P(D) and P(F ? D)
b. Determine P(F ? D), and interpret your answer in terms of percentages.
c. Find the probability that a randomly selected adult is male.

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According to America's Families and Living Arrangements, published by the U.S. Census Bureau, 51.5% of U.S. adults are female, 10.4% of U.S. adults are divorced, and 6.0% of U.S. adults are divorced females. For a U.S. adult selected at random, let
F = event the person is female, and
D = event the person is divorced.

a. Obtain P(F), P(D) and P(F ? D)
b. Determine P(F ? D), and interpret your answer in terms of percentages.
c. Find the probability that a randomly selected adult is male.

Added by John W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Robin Corrigan

12/24/2022

Step 1

- Let F = event the person is female. - Let D = event the person is divorced. - From the problem, P(F) = 51.5% or 0.515 (probability that a randomly selected U.S. adult is female). - P(D) = 10.4% or 0.104 (probability that a randomly selected U.S. Show more…

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According to America's Families and Living Arrangements, published by the U.S. Census Bureau, 51.5% of U.S. adults are female, 10.4% of U.S. adults are divorced, and 6.0% of U.S. adults are divorced females. For a U.S. adult selected at random, let F = event the person is female, and D = event the person is divorced. a. Obtain P(F), P(D) and P(F ∩ D) b. Determine P(F ∪ D), and interpret your answer in terms of percentages. c. Find the probability that a randomly selected adult is male.

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