The population of a particuar country consists afthr athni: groups. Each individ

Question

The population of a particuar country consists afthr athni: groups. Each individual belongs to cne of the four major blcod groups. The accompanying jaint prohahility tahla gives tha proportions of individuals in the various athnic gi Blood Group AB 1 0.002 0.106 0.007 0.004 Ethnic Group 2 0.135 0.141 0.018 0.0o 3 0.215 0.201 0.054 0.020 suppose that an individual i randomly selected from the population, and define events by A-{type A selected), B-type B selected), arid c: {ethnic groupselected) (a) Celculete PA), P(c), ad PAnC). (Enter yu swers to three decim places.) (b) calculate both P(A 1 C) and A).(Round your answers to three decimal places.) NAIC)- Explain in cantext what cach of these probabilitias reprccants. (Select al that apply.) [r we know that the individual came from ethnic group 3, the probability that he has toe A given by PLA 1 C). 1r a person has type A blood, the probabilty that he is rrom ethnic group ] is given by (A | C). rfa parson has typa B hlnod, tha prohability that he ls from atnnie goup 3 is gren by pA ' C). rf we know that th individual cama frnm athnic goup 3, the probability that hA haa type A given by A( A). -rra person has type B blood, tha probability that he is trom emnic goup 3 is gven by P(C i A}. -If person has type A blood, the probabilty that he is fom ethnic group 3 is given by p( A)- ) If theslected individual docs not has typ B blood, what is the probabiity that ha or shc is from ethnic group 1? (Round your answer to three decimal pleces.)

Explanation / Answer

from above:

a)

P(A) =0.448

P(C)=0.5

P(AnC) =0.201

b)P(A|C)=0.201/0.5= 0.402

P(C|A) =0.201/0.448 =0.449

1st and last option is correct.

c)

proabbility =(0.199-0.007)/(1-0.089)=0.211

( please revert fr any clarification required)

O A B AB total 1 0.082 0.106 0.007 0.004 0.199 2 0.135 0.141 0.018 0.007 0.301 3 0.215 0.201 0.064 0.02 0.5 total 0.432 0.448 0.089 0.031 1

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