Question

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.

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

Explanation: