wobassign.net 0 The population of a particular country three et proportions of i
ID: 2923508 • Letter: W
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wobassign.net 0 The population of a particular country three et proportions of individuals in the various ethnic group-blood group combinations consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The accompanyling Joint probability table glives the Blood Group A B AB 1 0.082 0.109 0.009 0.004 Ethnic Group 2 0.132 0.141 0.018 0.00s 3 0.215 0.210 0.055 0.020 population, and define events tby A - (type A selected), - (type B selected), and c - (ethnic group 3 selected). (a) Cakculate PA), P(C), and PA n C). (Enter your answers to three decimal places) PLA) . (b) Calculate both P(A 1 C) and P( KAIC) A). (Round your answers to three decimal places.) Explain in context what each of these probabilities represents. (Select all thar apply) . If a person has type B blood, the probability that he is from ethenic group 3 is given by PA I C If we know that the individual came from othnic group 3, the probabilty that he has type A gen by re A), 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 ethnic03)s given by ne i Ap. If we know that the individual came from ethnic group 3, the probability that he has type A is given by PKA C. If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C I A).Explanation / Answer
Ans:
a)P(A)=0.46
P(C)=0.5
P(A and C)=0.21
b)P(A/C)=P(A and C)/P(C)=0.21/0.5=0.420
P(C/A)=P(A and C)/P(A)=0.21/0.46=0.457
if we know that person came from ethnic group 3,the probability of blood type A is given by P(A/C)
if person has type bllod A,probability that person came from ethnic group 3 is given by P(C/A)
(last two options are correct)
c)P(group1/not B)=(0.204-0.009)/(1-0.082)=0.95/0.918=0.212
O A B AB marginal 1 0.082 0.1090 0.009000 0.0040 0.204 2 0.132 0.1410 0.018000 0.0050 0.296 3 0.215 0.2100 0.055000 0.0200 0.5 marginal 0.429 0.46 0.082 0.029 1Related Questions
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