SOLUTION: Four high school friends will all be attending the same university next year. There are 14 dormitories on campus. Find the probability that at least 2 of the friends will be in the

Algebra ->  Probability-and-statistics -> SOLUTION: Four high school friends will all be attending the same university next year. There are 14 dormitories on campus. Find the probability that at least 2 of the friends will be in the      Log On


   



Question 339416: Four high school friends will all be attending the same university next year. There are 14 dormitories on campus. Find the probability that at least 2 of the friends will be in the same dormitory.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Four high school friends will all be attending the same university next year. There are 14 dormitories on campus. Find the probability that at least 2 of the friends will be in the same dormitory.
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P(a student ends up in some particular dormitory) = 1/14
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Binomial Problem with n = 4 and p = 1/14
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P(2<= x <=4) = 1-binomcdf(4,1/14,1)
= 1 - 0.9722
= 0.0278
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Cheers,
Stan H.
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