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 certain 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 6.3 9.5 2.5 3.2 0.8 37.2 4.8 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh+? (b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen? (c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?
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 certain 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 6.3 9.5 2.5 3.2 0.8 37.2 4.8 (a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh+? (b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen? (c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 certain country's population having each of the eight possible blood types in the
Blood Types | A+ | A− | B+ | B− | AB+ | AB− | O+ | O− |
---|---|---|---|---|---|---|---|---|
Percent | 35.7 | 6.3 | 9.5 | 2.5 | 3.2 | 0.8 | 37.2 | 4.8 |
(a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh+?
(b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?
(c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?
(b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?
(c) What is the probability that a person selected randomly from the population has a blood type that is type AB or Rh−?
Expert Solution
Step 1
From given data we have :
Blood Types | A+ | A− | B+ | B− | AB+ | AB− | O+ | O− |
---|---|---|---|---|---|---|---|---|
Percent | 35.7 | 6.3 | 9.5 | 2.5 | 3.2 | 0.8 | 37.2 | 4.8 |
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