At a board meeting of 20 businessmen all of whom wear ties, Ask an Expert

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Find the required probability for binomial distribution.

Sociology: Dress Habits A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear them so right that they actually reduce blood flow to the brain, diminishing cerebral functions (Source: Chances: Risk and Odds in Everyday Life, by James Burke). At a board meeting of 20 businessmen, all of whom wear ties, what is the probability that:

a) At least one tie is too tight?

b) More than two ties are too tight?

c) None are too tight?

d) At least 18 are not too tight?

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