7 -10.12 points Devore Stat9 2E045 The population of a particular country consis

Question

7 -10.12 points Devore Stat9 2E045 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 table oives the proportions of individuals in the various ethnic group-blood group combinations Blood Group B AB 1 0,082 0.105 0.011 0.004 Ethnic Group 2 0.135 0.141 0.018 0.003 3 0.215 0.205 0.060 0.020 Suppose that an individual is rondomly selected from the population, and define events by A(type A selected), 8(type B selected), and C ethi group 3 selected) (a) Calculate PA), P(C), and PA n C). (Enter your answers to three decimal places) PKA)- PIC)- (b) Calculate both PA I C) and P(C I A). (Round your answers to three decimal places.) PCI A) Explain in context what each of these probabilities reprasents. (Select all that apply.) we know that the individual came from ethnic group 3, the probability that he has type A is given by A 1 C)- O lf person has type A blood, the probability that he is from ethnic group 3 is given by ACA I C). If a person has type B blood, te probablity that he is from ethnic group 3 is given by PC A). If a person has type B blood, the probability that he is from ethnic group 3 is given byA 1 C). If a person has type A blood, the probability that he is from ethnic group 3 is given by AC 1 A). If we know that the ind vidual came from ethnic group 3, the probability that he has type A Is given by PIC I A). (c) If the selected individual does not have type B blood, what is the prob bility that he or she is from ethnic group 17(Round your answer to three decimal places.) Need Help? Read Tak to Tutor

Explanation / Answer

a) P(A)=0.452

P(C) =0.5

P(An C) =0.205

b)P(A|C) =0.205/0.5= 0.41

P(C|A) =0.205/0.452 =0.4535

1st and 5th option is correct

c)P(1|Bc) =(.203-.011)/(1-0.089)=0.2108

2

a) probability =0.06

b)

probability =0.05+0.06=0.11

c) short sleeve =0.55

long sleeve =0.45

d)

probability of medium =0.26+0.23=0.49

probability of print=0.14+0.1 =0.24

e)

probability =0.09/0.16=0.5625

f)

short sleeved =0.09/(0.09+0.1)=0.4737

long sleeve =.5263

O A B AB total 1 0.082 0.106 0.011 0.004 0.203 2 0.135 0.141 0.018 0.003 0.297 3 0.215 0.205 0.06 0.02 0.5 total 0.432 0.452 0.089 0.027 1

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