Probability that the machine will be working
A machine has 15 identical componenets which function independently. The probability that a component will fail is 0.100. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
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A multiple choice test consists of 60 questions. Each question has four possible answers, and each question has one correct answer. If all answers are random guesses, find the probability of getting at least 30% of the questions correct.
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