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Week_6_solutions

# Week_6_solutions - 1 WEEK 6 SOLUTIONS TUTORIAL QUESTIONS...

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1 WEEK 6 - SOLUTIONS TUTORIAL QUESTIONS 1 . (Adapted from a past exam question in QMB). Draw a probability tree to solve this problem. A qualifying test for a professional organisation was given at four locations. One thousand students sat for the test at each of locations A and B and 500 students sat for the test at each of locations C and D. Seventy percent of those who sat at location A passed the test. The percentages of students from locations B, C and D who passed were 75%, 65% and 72% respectively. If one student is selected at random from those who sat for the test, (a) what is the probability that the selected student passed the test? Answer: P(Passed) 2135 0.712 3000 (b) if the selected student passed the test, what is the probability that the student

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