hat 51.7% o adults are female 10.7% are divorced, and 5.6% are d orced er ales.

Question

hat 51.7% o adults are female 10.7% are divorced, and 5.6% are d orced er ales. For an adult see ted at an F be he event hat sema e anc ? ba ee enthatthe A recent census found person is divorced. e r a. Obtain P(F), P(D), and P(F & D). P(F)(Type an integer or a decimal.) P(D)-L (Type an integer or a decimal.) P(F &D;) (Type an integer or a decimal.) b. Determine P(F or D) P(F or D)Type an integer or a decimal.) c. Find the probability that a randomly selected adult is male. P(male)Type an integer or a decimal.)

Explanation / Answer

Given that, a recent census found that 51.7% of adults are female, 10.7% are divorced, and 5.5% are divorced females. For an adult selection at random, let F be the event that the person is female, and D be the event that the person is divorced.

51.7 % = 51.7/100 = 0.517

10.7 % = 10.7/100 = 0.107

5.6 % = 5.6/100 = 0.056

a) P(F) = 0.517

P(D) = 0.107

P(F & D) = 0.056

b)

P(F or D) = P(F) + P(D) - P(F & D) = 0.517 + 0.107 - 0.056

P(F or D) = 0.568

c) P(male ) = 1 - P(female ) = 1 - P(F) = 1 - 0.517 = 0.483

P(male) = 0.483

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