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A study has found that a certain chain of restaurants succeed 60% of the time. Supposed that 3 of those restaurants opened in Greenville (where

A study has found that a certain chain of restaurants succeed 60% of the time. Supposed that 3 of those restaurants opened in Greenville (where they do not compete with each other, so their success is considered to be independent). If the data followed a binomial distribution, answer the following questions.

a) What is the probability that all 3 businesses will succeed?

b) What is the probability that all 3 businesses will fail?

c) What is the probability that at least 1 business will succeed?

d) What is the probability that more than 2 of the businesses will succeed?

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