For a randomly chosen student, find the probability that: The student is a high scorer. The student is from section C. The student scored high marks given that student is from section B. The student is from section A given that student scored average marks.

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Author:Amos Gilat
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The following contingency table shows statistics marks (columns) and three sections (rows) for 480 students. Develop a joint probability table and use it to answer the following questions.

 

Section

Marks

Low

Average

High

Section A

82

40

55

Section B

37

64

63

Section C

48

40

51

For a randomly chosen student, find the probability that:

  1. The student is a high scorer.
  2. The student is from section C.
  3. The student scored high marks given that student is from section B.
  4. The student is from section A given that student scored average marks.

Solve each of the above?

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