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3. -10 points My Notes Ask Your Teacher All human blood can be \"ABO-typed\" as

ID: 3335281 • Letter: 3

Question

3. -10 points My Notes Ask Your Teacher All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in the United States. Blood type B AB U.S. probability 0.44 0.39 0.10 0.07 Choose a married couple at random. It is reasonable to assume that the blood types of husband and wife are independent and follow this distribution. What is the probability that the wife has type A blood and the husband has type B blood? What is the probability that one member of the couple has type A blood and the other member of the couple has type B blood?

Explanation / Answer

a) P( Wife has blood A and Husband has Blood B) = 0.39*0.10 = 0.039

b) P( one member has blood A and other has blood B) = 0.39*0.10+0.10*0.39 = 0.078

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