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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions (Source: Chances: Risk and Odds in Everyday Life, by James Burke).

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Please answer in 3 decimal places after the decimal points.

QUESTIONS

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?Answer

(b) more than two ties are too tight? Answer (c) no tie is too tight?Answer

(d) at least 18 ties are not too tight?

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