It is estimated that one-fifth of the population of England watched last year's Cup Final on television.

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It is estimated that one-fifth of the population of England watched last year's Cup Final on television. If random samples of 100 people are interviewed, calculate the mean and variance of the number of people from these samples who watched the Cup Final on television. Estimate, to two significant figures, the probability that in a random sample of 100 people, more than 30 watched the Cup Final on television. (L. Additional)

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