It is commonly known that blood is classified into four types: type O, type A, t
ID: 3298135 • Letter: I
Question
It is commonly known that blood is classified into four types: type O, type A, type B, and type AB. But blood typing also depends on the Rh factor, which can be negative or positive. Below is a table of the estimated proportions for blood types categorized on both type and Rh factor in a particular country Complete parts a through c below. a) For a randomly selected human in this country, what is the probability that he is Rh negative given that he is type O? (Round to four decimal places as needed.) b) For a randomly selected human in this country, what is the probability that he is type O given that he is Rh negative? (Round to four decimal places as needed) c) A person with type A- blood can accept donated blood only of types A - and O - What is the probability that a randomly selected donor in this country can donate to a recipient in this country given that the recipient's blood type is A - ? (Round to four decimal places as needed)Explanation / Answer
a) Probability that he is Rh negative given that he is type O would be computed as:
= ( Probability that he is Rh negative and type O ) / Probability that he is type O
= (0.0434)/ (0.0434 + 0.3527)
= 0.0434 / 0.3961
= 0.1096
Therefore 0.1096 is the required probability here.
b) Probability that he is type O, given that he is Rh negative
= ( Probability that he is Rh negative and type O ) / Probability that he is Rh negative
= (0.0434)/ (0.0434 + 0.0351 + 0.0171 + 0.0042)
= 0.0434 / 0.0998
= 0.4349
Therefore 0.4349 is the required probability here.
c) As the recepient blood type is A-, therefore he can only take from the people of A- and O-. Therefore the probability that a randomly selected donor can donate
= Probability that person is A- or O-
= 0.0351 + 0.0434
= 0.0785
Therefore 0.0785 is the required probability here.
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