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Question 1: Suppose that of 6,000 electrical fuses, 5% are defective. Also, suppose that a random...

Question 1: Suppose that of 6,000 electrical fuses, 5% are defective. Also, suppose that a random sample of 10 fuses is selected and consider the random variable X representing the number of defective fuses in the sample. (a) Explain why a binomial distribution is appropriate. (b) What is the probability that at least one of the fuses is defective? (c) What is the probability that fewer than 3 fuses are defective?

Question 2: Refer to the setup in Question 1. Suppose that a random sample of size n = 200 is instead drawn and again let X be the random variable representing the number of defective fuses in the sample. (a) Find the mean and standard deviation of X. (b) Estimate the probability that no more than 15 fuses are defective

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