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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

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

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