SOLUTION: When treated with an Antibiotic, 91% of all the dolphins are cured of an ear infection. If 5 dolphins are treated, find the probablity that exactly 4 are cured?

Algebra ->  Probability-and-statistics -> SOLUTION: When treated with an Antibiotic, 91% of all the dolphins are cured of an ear infection. If 5 dolphins are treated, find the probablity that exactly 4 are cured?      Log On


   



Question 471567: When treated with an Antibiotic, 91% of all the dolphins are cured of an ear infection. If 5 dolphins are treated, find the probablity that exactly 4 are cured?
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(cured) =.91 and q = .09
nCx = n%21%2F%28x%21%28n-x%29%21%29
5 dolphins treated n = 5
P(exactly 4 cured) = 5C4(.91)^4(.09) = 5(.91)^4(.09)= .3086