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In a class of 75 students, 15 are above ...

In a class of 75 students, 15 are above average, 45 are average and the rest below average achievers. The probability than an above average achieving student fails is 0.005, that an average achieving student fails is 0.05 and the probabilit of a below average achieving students failing is 0.15. If a student is known to have passed, what is the probability that he is a below average achiever?

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