SOLUTION: 7c A machine making electrical resistors has a probability of 0.2 that the values will fall outside the target range. What is the probability of randomly picking 30 from a batch of
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Question 1063395: 7c A machine making electrical resistors has a probability of 0.2 that the values will fall outside the target range. What is the probability of randomly picking 30 from a batch of 100 that will be outside the target?
What are the mean and the standard deviation for this distribution?
You can put this solution on YOUR website! We will us the binomial probability(P) distribution
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P ( k = 30 ) = 100C30 * (0.2)^30 * (0.8)^70 = 0.005
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Note that 100C30 = 100! / (30! * (100-30)!)
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mean of the sample is 0.02
standard deviation of the sample is square root(0.20 * 0.80/100) = 0.04
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