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Eliminating symptoms of allergies in animal studies

An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving 6 participants is conducted. What is the probability that the drug is effective on more than half of the participants?

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## Q : Binomial random variable

Assume that X is a binomial random variable with n = 30 and p = 0.72. Calculate the following probabilities. (Round your intermediate and final answers to 4 decimal places.)