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The conditional probability P(A|B) is the probability of A occurring given that B has occurred. Using this logic, we can interpret the probability P(A|C) as the probability of event A occurring given that event C has occurred. The instructions define event A as selecting blood type A and event C as selecting ethnic group 3. Therefore, P(A|C) is the probability that the person selected has blood type A given that the individual is from ethnic group 3. Similarly, P(C|A) is the probability that the person selected is from ethnic group 3 given that the individual has blood type A. Refer to these explanations to select all contexts that these probabilities represent. If a person has type A blood, the probability that he is from ethnic group 3 is given by P(A|C). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A|C). If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C|A). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(A|C). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C|A). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(C|A).

          The conditional probability P(A|B) is the probability of A occurring given that B has occurred. Using this logic, we can interpret the probability P(A|C) as the probability of event A occurring given that event C has occurred. The instructions define event A as selecting blood type A and event C as selecting ethnic group 3.
Therefore, P(A|C) is the probability that the person selected has blood type A given that the individual is from ethnic group 3.
Similarly, P(C|A) is the probability that the person selected is from ethnic group 3 given that the individual has blood type A.
Refer to these explanations to select all contexts that these probabilities represent.
If a person has type A blood, the probability that he is from ethnic group 3 is given by P(A|C).
If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A|C).
If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C|A).
If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(A|C).
If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C|A).
If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(C|A).
        
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The conditional probability P(A|B) is the probability of A occurring given that B has occurred. Using this logic, we can interpret the probability P(A|C) as the probability of event A occurring given that event C has occurred. The instructions define event A as selecting blood type A and event C as selecting ethnic group 3.
Therefore, P(A|C) is the probability that the person selected has blood type A given that the individual is from ethnic group 3.
Similarly, P(C|A) is the probability that the person selected is from ethnic group 3 given that the individual has blood type A.
Refer to these explanations to select all contexts that these probabilities represent.
If a person has type A blood, the probability that he is from ethnic group 3 is given by P(A|C).
If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A|C).
If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C|A).
If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(A|C).
If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C|A).
If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(C|A).

Added by Justin B.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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The conditional probability P(A|B) is the probability of A occurring given that B has occurred. Using this logic, we can interpret the probability P(A) as the probability that the person has type A blood given any event. Similarly, P(C|I=4) is the probability that the person belongs to ethnic group 3. Refer to these explanations to understand all contexts that these probabilities represent. If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C|IB). If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C|IA). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(A|C). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(C|IA).
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the-population-particular-country-consists-of-three-ethnic-groups-each-individual-belongs-one-of-the-four-major-blood-groups-proportions-of-individuals-in-the-various-ethnic-group-blood-grou-65358

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 gives the proportions of individuals in the various ethnic group-blood group combinations. Blood Group O A B AB 1 0.082 0.101 0.006 0.004 Ethnic Group 2 0.140 0.141 0.018 0.008 3 0.215 0.199 0.066 0.020 Suppose 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(A ∩ C). (Enter your answers to three decimal places.) P(A) = P(C) = P(A ∩ C) = (b) Calculate both P(A | C) and P(C | A). (Round your answers to three decimal places.) P(A | C) = P(C | A) = 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(A | C). If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C). If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(C | A). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C | A). If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C | A). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A | C).

David N.

explain-in-context-what-each-of-these-probabilities-represents_-select-all-that-apply-if-a-person-has-type-blood_-the-probability-that-he-is-from-ethnic-group-is-given-by-paic-if-a-person-ha-83755

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(A|C). If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C|A). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(A|C). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A|C). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(C|A). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C|A). (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.)

Ahmet Y.

explain-in-context-what-each-of-these-probabilities-represents_-select-all-that-apply-if-a-person-has-type-blood_-the-probability-that-he-is-from-ethnic-group-is-given-by-paic-if-a-person-ha-83755

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(A|C). If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C|A). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(A|C). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A|C). If we know that the individual came from ethnic group 3, the probability that he has type A blood is given by P(C|A). If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C|A). (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.)

Ahmet Y.


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Transcript

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00:01 Hi, i'm david and i'm here to help you and change your question.
00:03 In this question here we're given the table on the probability for the blood group and the ethnic group.
00:09 So let me copy the table and put it on the top here.
00:12 Let me make it bigger.
00:14 Now let me compute the total for the column and the total for the row.
00:20 Here we have the 0 .082 plus 0 .14 plus 0 .25 equal to the 0 .4 -37.
00:29 37.
00:30 The next one we have 0 .101 plus 0 .141 plus 0 .199 equal to the 0 .441 and this one has the 0 .06 plus 0 .08 plus 0 .66 equal to the 0 .09.
00:50 This one has the 0 .04 0 .4 plus 0 .08 plus 0 .02 equal to the 0 .32.
00:59 And here we need to find the total as well.
01:02 0182 plus 0 .101 plus 0 .06 plus 0 .04 plus 0 .04 plus 0 .03 0 .14 plus 0 .04 plus 0 .03 equal to the 0 .141 plus 0 .04 and then the last one we will have the 0 .15 plus 0 .199 plus 0 .06.
01:45 Get equal to the 0 .48.
01:52 And now we are ready to answer the question now.
01:55 In the question we define the event a will be the type a plus.
01:59 That will be the event a, the b will be the type b plus, and the event c will be the end group 3.
02:07 And from here the question asks me to find the probability on the event a.
02:11 So we have found it already equal to 0 .441.
02:17 And the probability on the event c equal to the 0 .4a0...
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