SOLUTION: The probability that a particular machine breaks down on any day is 0.2 and is independent of the breakdowns on any other day. The machine can break down only once per day. Calcula
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Question 717102: The probability that a particular machine breaks down on any day is 0.2 and is independent of the breakdowns on any other day. The machine can break down only once per day. Calculate the probability that the machine breaks down two or more times in ten days.
(A) 0.0175 (B) 0.0400 (C) 0.2684 (D) 0.6242 (E) 0.9596 Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! This is a binomial probability problem. The probability of a "success" is p = 0.2 since we want to determine the likelihodd of breakdown.
The general formula for the probability of m successes in n trials is:
P(m) = combin(n,m)*p^m*(1-p)^(n-m)
In this case there are 10 trials, so n = 10
P(2 or more) = 1 - P(less than 2)
P(0) = 0.107374
P(1) = 0.268435
So P(2 or more) = 1 - .1074 - 0.2684 = 0.6242 (D)
