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Unformatted text preview: h) What is the probability that there will be exactly two accidentfree weeks during the next four weeks? When n is large ( n ≥ 20 ) and p is small ( p ≤ 0.05 ) and n ⋅ p ≤ 5, Binomial probabilities can be approximated by Poisson probabilities. For this, set λ = n ⋅ p . 2. Suppose the defective rate at a particular factory is 1%. Suppose 50 parts were selected from the daily output of parts. Let X denote the number of defective parts in the sample. a) Find the probability that the sample contains exactly 2 defective parts. b) Use Poisson approximation to find the probability that the sample contains exactly 2 defective parts. c) Find the probability that the sample contains at most 1 defective part. d) Use Poisson approximation to find the probability that the sample contains at most 1defective part....
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 Spring '08
 Kim
 Poisson Distribution, Probability, Probability theory, Binomial distribution, Poisson

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