Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty period. Consider a sample of 8,000 computers. (a) What are the expected value and standard deviation of the number of computers in the sample that have the defect? (Round your standard deviation to two decimal places.) expected value computers standard deviation computers (b) What is the (approximate) probability that more than 13 sampled computers have the defect? (Round your answer to three decimal places.) (c) What is the (approximate) probability that no sampled computers have the defect? (Round your answer to five decimal places.)
Added by Jonathan C.
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1% or 0.001. We have a sample of 8,000 computers. We can model this situation using a binomial distribution with parameters n = 8000 and p = 0.001. The expected value (mean) of a binomial distribution is given by: E(X) = n * p The standard deviation of a binomial Show more…
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