SOLUTION: A doctor is using a method of treatment that is thought to be 94% successful. What is the probability that there are five failures in 15 treatments (round to the nearest thousandth

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Question 429930: A doctor is using a method of treatment that is thought to be 94% successful. What is the probability that there are five failures in 15 treatments (round to the nearest thousandth)?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p = .94 and q = .06
nCx = n%21%2F%28x%21%28n-x%29%21%29
P(5 failures in 15 treatments) = 15C5(.06)^5(.94)^10