The following table presents 850 people that are classified according to ethnic
ID: 3064894 • Letter: T
Question
The following table presents 850 people that are classified according to ethnic group and blood group. A person is selected random among 850 people. Blood group 0 A B AB Ethnic group 1 70 90 7 3 2 115 120 15 5 3 183 170 55 17 a) If the person is from Ethnic group 1, what is the probability that blood group is A? b) If the person has blood group 0, what is the probability that ethnic group is 2? c) If the ethnic group is 3, what is the probability that blood group is B? d) If the blood group is B, what is the probability that ethnic group is 3? e) If the ethnic group is not 1, what is the probability that blood group is not AB?
Explanation / Answer
from above :
a)probability that blood group is A given ethnic group 1 =90/170 =0.5294
b) probability that ethnic group is 2 given blood group O =115/368 =0.3125
c)probability that blood group is B given ethnic group 3 =55/425=0.1294
d) probability that ethnic group is 3 given blood group B =55/77 =0.7143
e) probability that blood group is not AB given not ethnic group 1=1-P(blood group AB|ethnic group not 1)
=1-(3+5)/(170+255)=0.9812
blood group ethnic group O A B AB Total 1 70 90 7 3 170 2 115 120 15 5 255 3 183 170 55 17 425 total 368 380 77 25 850Related Questions
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