The blood type of ethnic groups in certain county is given in this table. Calcul
ID: 3142163 • Letter: T
Question
The blood type of ethnic groups in certain county is given in this table. Calculate the probability having A and AB types of blood given that the person selected from ethnic group Y. Calculate the probability of type-B blood given that one selected from ethnic group z. Calculate the probability a person selected is from ethnic group x given that he has blood type-O. Manufacturing lines (A, B, C, D) in a factory and they produced 20% 30% 35% and 15% of the products each produce 0.2% 0.1% 0.1% and 0.2% of defective products, respectively. If a customer complain later that her purchase was defective, what is the probability that it was manufactured by machine A?Explanation / Answer
Q2 (i) We have to calculate the probability of A and AB types of blood given that the person selected from ethnic group Y.
Pr( A and AB l Y) = (0.141 + 0.040)/ (0.135 + 0.141 + 0.018 + 0.040) = 0.542
(ii) Pr ( Type - B blood l Z) = 0.065/ ( 0.215 + 0.2 + 0.065 + 0.020) = 0.13
(iii) Pr (X l Type -O) = 0.002/ (0.002 + 0.135 + 0.215) = 0.00568
(b) Here we have to calculate the probability that the defective product is produced by Machine A.
Pr ( Machine A l Defective) = Pr (Defective of MAchine A) / Pr( Defective)
Pr (Defective) = Pr(Defective) * Pr(specific machine)
= 20 * 0.2 + 30 * 0.1 + 35 * 0.1 + 15 * 0.2 = 13.5
Pr ( Machine A l Defective) = 20 * 0.2/ 13.5 = 0.2963
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