Respuesta :
Answer:
P (A|C) = 0.39
P (C|A) = 0.446
Step-by-step explanation:
The data provided is as follows:
Blood Group
O A B AB Total
1) 0.082 0.101 0.005 0.004 0.192
Ethnic Group 2) 0.140 0.141 0.018 0.009 0.578
3) 0.215 0.195 0.070 0.020 0.500
Total 0.437 0.437 0.093 0.033
The event C = {Ethnic group 3 is selected}
Compute the value of P (A|C) as follows:
[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}=\frac{0.195}{0.5}=0.39[/tex]
If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C) = 0.39.
Compute the value of P (C|A) as follows:
[tex]P(C|A)=\frac{P(A\cap C)}{P(A)}=\frac{0.195}{0.437}=0.446[/tex]
If we know that the individual has type A blood group, the probability that he came from ethnic group 3 is given by P(C | A) = 0.446.
