Question

a recent census found that 52.1% of adults are female, 10.8% are divorced, and 6.3% are divorced females. for an adult selected at random, let e be the event that the person is female, and d be the event that 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.
a. obtain ( p(f) ), ( p(d) ), and ( p(f&d) ).
( p(f)=square ) (type an integer or a decimal. do not round.)

Explanation:

Step1: Find \(P(F)\)

The problem states that \(52.1\%\) of adults are female. To convert a percentage to a decimal, we divide by \(100\). So \(P(F)=\frac{52.1}{100}=0.521\)

Step2: Find \(P(D)\)

The problem states that \(10.8\%\) of adults are divorced. Converting to a decimal: \(P(D)=\frac{10.8}{100} = 0.108\)

Step3: Find \(P(F\&D)\)

The problem states that \(6.3\%\) of adults are divorced females. Converting to a decimal: \(P(F\&D)=\frac{6.3}{100}=0.063\)

Answer:

\(P(F) = 0.521\), \(P(D)=0.108\), \(P(F\&D) = 0.063\)