Human blood is classified by the presence or absence of three main antigens (A,

Question

Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing the letter A and/or the letter B. If neither the A nor the B antigen is present, the letter O is used. The following table gives the percent of a country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or , respectively. Blood Types A+ A B+ B AB+ AB O+ O Percent 35.7 6.1 8.5 1.5 3.4 0.8 37.4 6.6 (a) What is the probability that a person selected at random from the population has a blood type that is type AB given that the person is Rh+? (Round your answer to two decimal places.) (b) What is the probability that a person selected at random from the population has a blood type that is Rh given that the person is type O? (Round your answer to two decimal places.)

Explanation / Answer

a) P(Type AB| Rh+)

= 3.4 /(35.7 + 8.5 + 3.4 + 37.4)

= 3.4/ 85

= 0.04

b) P(Rh- | Type O)

= 6.6/ (37.4 + 6.6)

= 6.6/44

= 0.15

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