A recent census found that 52.5% of adults are female, 10.3% are divorced, and 5.8% are divorced females. For an adult selected at random, let F be the event that the person is divorced.

Question

Mathematics

Bella

23 March, 22:18

A recent census found that 52.5% of adults are female, 10.3% are divorced, and 5.8% are divorced females. For an adult selected at random, let F be the event that the person is divorced.

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Garrett Elliott · Answer 1

A. Obtain P (F).

B. Obtain P (D).

C. Obtain P (F&D).

D. Determine P (F or D).

E. Find the probability that a randomly selected adult is male.

A. 0.519

B. 0.107

C. 0.056

- P (F&D) = P (F) •P (D) = 0.519•0.107

D. 0.57

- P (F or D) = P (F) + P (D) - P (F&D)

= 0.519 + 0.107 - 0.056

E. 0.481

P (male) = P (not female) = 1 - P (female)

= 1 - 0.519