The population af a particular country consists of thrac cthnic groupa. Each ind

Question

The population af a particular country consists of thrac cthnic groupa. Each individual belongs to ane of the four major blood groups. Tha accompanying joint prababiity toble givas the proportions of individuals in the varicus athnic group-bload group combinations Blood Group AB 1 0,082 0,110 0.011 0.004 Fthnle Group 2 D. 131 0.141 0.01 a.Dn3 Suppose thdl dn individudli"dndurn y selected forn che population end define events by A = {type A selec ed e = {lype B selected], dnd C-{ethnic group 3 selected (a) Celculate P(A), PC, ard PIAnC). (Enter your enswers to three decirnal places.) PIA P(C) (b) calculate both rm 1 ) and /fc l A). (Round your answers to thrcc decimal places.) RAIC)= RCIA) Explain in context what each of these probablii ties represents. (Select all that apply.) r a person has type A blood, the probability that he is trom ethnic group 3 is oiven by PA I C) G Tf a person has typa B hlond, the pronahilty that he is from ethnic group 3·given by D(A | C). If a person has typs A bload, the probability that he is from ethnic group 3 is given by C I A). G rwe know that lhe individual came f om ethnic group 3, the probability Lhal he has type A 1 given by p A l C . we know that the individual came trom ethnic group 3, the probability that he has type A is given by P(CI A, a person has type B blood, the probability that he is from ethnic group 3 is given by PICIA). It the selected individual does not have type B blood, what is the probablility that he or she is from ethnic group 1? (Round your answer to three decimal places.)

Explanation / Answer

from above:

a)

P(A) =0.449

P(C) =0.5

P(AnC) =0.198

b)

P(A|C) =P(AnC)/P(C) =0.198/0.5 =0.396

P(C|A) =0.198/0.449 =0.441

explaination:

3rd and 4th option is correct

c)

probability =(0.207-0.011)/(1-0.096)=0.217

O A B AB total 1 0.082 0.11 0.011 0.004 0.207 2 0.131 0.141 0.018 0.003 0.293 3 0.215 0.198 0.067 0.02 0.5 total 0.428 0.449 0.096 0.027 1

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