Blood Group A В AB 1 .082 .106 .008 .004 Ethnic Group 3 .018 .065 2 .135 .141 .006 .215 200 .020

MATLAB: An Introduction with Applications
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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 groups. The accompanying jo in probability table gives the proportions of individuals in the various ethnic group-blood group combinations.

Suppose that an individual is randomly selected from the population, and define events by.4 = {type A selected}, B = {typeB selected}, and C= {ethnic group 3 selected}.

 

a. Calculate P(A), P(C), and P(A ∩ C).

b. Calculate both P(A/C) and P(C/A), and explain in context what each of these probabilities

c. If the selected individual does not have type B blood, what is the probability that he or she is from ethnic group 1?

Blood Group
A
В
AB
1
.082
.106
.008
.004
Ethnic Group
3
.018
.065
2
.135
.141
.006
.215
200
.020
Transcribed Image Text:Blood Group A В AB 1 .082 .106 .008 .004 Ethnic Group 3 .018 .065 2 .135 .141 .006 .215 200 .020
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