question archive QUESTION 2 A university has analyzed the results of 1,000 students after the first year examinations

QUESTION 2 A university has analyzed the results of 1,000 students after the first year examinations

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QUESTION 2

A university has analyzed the results of 1,000 students after the first year examinations. The result of the analysis is summarized below 

  Types of sponsorship 
Examination results  Government   Private   Church  
Students who were to be discontinued  155 150 105
Students who passed the examination  180 195 170
Students who were to sit for a supplementary paper 20 5 20

Required 

The probability that a student was discontinued or was required to sit for a supplementary paper                                                                                                            (1mark)

The probability that a student was a government sponsored             (1mark)

The probability that a privately sponsored student passed the examination        (2marks)

The probability that a student was church sponsored and was required to sit for a supplementary paper                                                                                                            (2marks)

The probability that a student was a government sponsored or church sponsored given that the student failed the examination                                                                       (2marks)

The probability that a student passed or was to sit for a supplementary paper given that the student was sponsored by the government                                                            (2marks)

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