According to America\'s Families and Living Arrangements, published by the U.S.

Question

According to America's Families and Living Arrangements, published by the U.S. Census Bureau, 51.5% is 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 or 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% is 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 or D) and interpret your answer in terms of percentages c) Find the probability that a randomly selected adult is male.
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 or D) and interpret your answer in terms of percentages c) Find the probability that a randomly selected adult is male.

Explanation / Answer

a)

P(F)=0.515
P(D)=0.104

P(FD)=0.06

P(F U D)=P(F)+P(D)-P(FD)=0.515+0.104-0.06=0.559

b)

P(F or D) =0.515+0.104-2(0.06)=0.499

45.5% of adults are only female --------------> 0.515-0.06=0.455
4.4% of adults are only divorced --------------> 0.104-0.06=0.044

c)

P(M)=1-0.455=0.545

54.5% of adults are male

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