The manufacturing of semiconductor chips produces 2% defective chips. Assume that the chips are independent and that a batch contains 1000 chips. Let the random variable X be the number of defective chips. a) Disregarding the number of chips, what probability distribution is the most appropriate to model the scenario? b) Why is the probability distribution valid to be approximated by a Normal probability distribution? What conditions are satisfied? c) What is the mean and variance of the random variable X? d) If we want to find the probability that X< 25, find the corresponding standard normal random variable Z. e) What is the probability that there are less than 25 chips in the lot?

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