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6.2% of DVD players of a certain type are defective. Let the random variable X represent the number of defective DVD players among 200 randomly selected DVDs of this type. Suppose you wish to find the probability that X is less than 8.

(a) Does the random variable X have a binomial distribution or a Poisson distribution? Give reasons for your answer.

(b) If X has a binomial distribution, would it be reasonable to use the Poisson approximation to find P(X < 8)? Give reason(s) for your answer.

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Category:- Statistics and Probability
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