Assume that the whole population we are concerned with are librarians and farmers. You know that for each librarian there are 20 farmers. Amongst all farmers only 10% are shy and quiet. Amongst all librarians 80% are shy and quiet. (a) What percentage of the population are shy and quiet? (b) You meet a person who looks shy and quiet. What is the probability that they are a librarian? (c) Explain the result of part (b) intuitively (that is, without using numbers or formulae).

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