Assume that the blood types are distributed the same in bothmale and female popu

Question

Assume that the blood types are distributed the same in bothmale and female populations. Also, assume that the blood types areindependent of marriage. Blood Type:        O     A        B         AB Frequency (%):  45    40       10          5 (a) What is the probability that in a randomly chosen couplethe wife has type B blood and the husband has type O blood? (b) It is known that a person with type B blood can safelyreceive transfusions only from persons with with type B or type Oblood. What is the probablity of a husband has type B or type Oblood? It is given that a woman has type B blood, what is theprobability that her husband is an acceptable donor for her? Will give a good rating for those who can answer thiscorrectly. This question has no be answered correctly so far. Assume that the blood types are distributed the same in bothmale and female populations. Also, assume that the blood types areindependent of marriage. Blood Type:        O     A        B         AB Frequency (%):  45    40       10          5 (a) What is the probability that in a randomly chosen couplethe wife has type B blood and the husband has type O blood? (b) It is known that a person with type B blood can safelyreceive transfusions only from persons with with type B or type Oblood. What is the probablity of a husband has type B or type Oblood? It is given that a woman has type B blood, what is theprobability that her husband is an acceptable donor for her? Will give a good rating for those who can answer thiscorrectly. This question has no be answered correctly so far.

Explanation / Answer

a) Since blood types are independent of marriage, P(wife has type B blood and the husband has type O blood) =P(wife has type B blood)P( husband has type O blood)                                                                                             =0.10(0.45) = 0.045

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