SOLUTION: An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal tudies. A small human study involving six participants is conduted. What is t

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Question 1164449: An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal tudies. A small human study involving six participants is conduted. What is the probability that the drug is effective on half of the participants? Thank you
Answer by ikleyn(52809) About Me  (Show Source):
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It is the binomial type probability distribution.


The number of trial n= 6; the probability of the success trial is  0.75,  and the number of success trial k = 3. 


    P = C%5B6%5D%5E3%2A0.75%5E3%2A%281-0.75%29%5E3 = %28%286%2A5%2A4%29%2F%281%2A2%2A3%29%29%2A0.75%5E3%2A0.25%5E3 = 0.1318 (rounded).     ANSWER

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