Question

The population of a particular country conslsts of three ethnic groups, Each Indvidual belongs to one of the four major blood groups. The accompanying joint probability table glves the proportlons of Indlvlduals In the various ethnic group -blood group c Blood Group 0 AB 1 0.082 0.113 0.007 0.004 Fthnic Group 2 0.128 0.141 0.018 0.007 3 0.215 0.206 0.059 0.020 Suppose that an individual is randomly selected from the population, and define events by A (type A selected, - type B selected, and C- fethnic group 3 selectedy (a) Calculate PA), P(C), and P(A n C). (Enter your answers to three decimal places.) PA)-460 P(C) 500 PIAnC) (b) Calculate both P(A I C) and PC A). (Round your answers to three decimal places.) PA I C) 412 p(C | Λ)-| 448 Explain in context what each of these probabilities represents. (Select all that apply.) It we know that the individual came from ethnic group 3, the probability that he has type A is given by p( C) D Tt a person has type B blood, the prob bility that he is from ethnic group 3 is given hy ρ(A l C) It a person has type A blood, the probability that he is from ethnic grop 3 is given hy PCIA) If a person has type A blood, the probability that he is from ethnic group 3 is given by P(A I C) If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C I A) If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(CIA) (c) If the selected individual does not have type B blood, what is the probability that he or she is from ethnic group 1? (Round your answer to three decimal places.) 217

Answer 1