SOLUTION: The computer virus attacks a folder consisting of 28 files. The virus corrupts the files independently of each other. Each file is corrupted with a probability of 0.034. What is th

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Question 1204801: The computer virus attacks a folder consisting of 28 files. The virus corrupts the files independently of each other. Each file is corrupted with a probability of 0.034. What is the probability that the virus will corrupt 4 files?
Answer by ikleyn(52803) About Me  (Show Source):
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The computer virus attacks a folder consisting of 28 files. The virus corrupts
the files independently of each other. Each file is corrupted with a probability of 0.034.
What is the probability that the virus will corrupt 4 files?
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It is a binomial type experiment.

The number of trials is n= 28.
The number of success trials is k= 4.
The probability of success in each individual trial is p= 0.034.


Use the standard binomial formula for the probability

    P = C%5Bn%5D%5Ek%2Ap%5Ek%2A%281-p%29%5E%28n-k%29 = C%5B28%5D%5E4%2A0.034%5E4%2A%281-0.034%29%5E%2828-4%29 =

      = 20475%2A0.034%5E4%2A0.966%5E24 = 0.01193  (rounded).   ANSWER

Solved.