The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability tablegives the proportions of individuals in the various ethnic group-blood group combinations.1Ethnic Group 23Blood GroupBA0.1000.1410.215 0.202 0.06300.0820.141AB0.009 0.0040.018 0.0050.020Suppose 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 P(An C). (Enter your answers to three decimal places.)P(A) =P(C) =P(An C) =(b) Calculate both P(AIC) and P(CIA). (Round your answers to three decimal places.)P(AIC) =P(CIA) =Explain in context what each of these probabilities represents. (Select all that apply.)□ If a person has type A blood, the probability that he is from ethnic group 3 is given by P(CIA).□ If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(AIC).If a person has type B blood, the probability that he is from ethnic group 3 is given by P(AIC).□ If a person has type B blood, the probability that he is from ethnic group 3 is given by P(CIA).□ If a person has type A blood, the probability that he is from ethnic group 3 is given by P(AIC).□ If we know that the individual came from ethnic group 3, the probability that he has type A blood 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.)

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The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood gr gives the proportions of individuals in the various ethnic group-blood group combinations. 1 Ethnic Group 2 3 Blood Group 0 A B AB 0.009 0.004 0.082 0.100 0.141 0.141 0.018 0.005 0.215 0.202 0.063 0.020 Suppose that an individual is randomly selected from the population, and define events by A = {type A selected}, B = {type B (a) Calculate P(A), P(C), and P(An C). (Enter your answers to three decimal places.) P(A) =

The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood gr gives the proportions of individuals in the various ethnic group-blood group combinations. 1 Ethnic Group 2 3 Blood Group 0 A B AB 0.009 0.004 0.082 0.100 0.141 0.141 0.018 0.005 0.215 0.202 0.063 0.020 Suppose that an individual is randomly selected from the population, and define events by A = {type A selected}, B = {type B (a) Calculate P(A), P(C), and P(An C). (Enter your answers to three decimal places.) P(A) =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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