The population of a particular country consists of threethnic groups. Each indvi

Question

The population of a particular country consists of threethnic groups. Each indvidual belongs to one of the four major blood groups. The accompanying joint probablity table gives the proportions of individuals in the various ethnic group-blood group combinations. Blood Group 0 A B AB 1 0.082 0.113 0.008 0.004 Ethnic Group 2 0.128 0.141 0.018 0.006 3 0.215 0.194 0.071 0.020 Suppose that an individual is randomly selected from the population, and define events by A (type A selected), B type B selected), and C (ethnic group 3 selected) (a) Calculate P(A), P(C), and PAnC. (Enter your answers to three dedimal places.) P(A) P(C) (b) calculate both P(A | C) and P(C IA). (Round your answers to three decimal places.) P(A I C) P(CIA)

Explanation / Answer

Ans:

a)

P(A)=0.113+0.141+0.194=0.448

P(C)=0.215+0.194+0.071+0.02=0.500

P(A and C)=0.194

b)

P(A/C)=P(A and C)/P(C)=0.194/0.5=0.388

P(C/A)=P(A and C)/P(A)=0.194/0.448=0.433

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