6.2% of cable boxes of a certain type are defective. Let the random variable X represent...

6.2% of cable boxes of a certain type are defective. Let the random variable X represent the number of defective cable boxes among 200 randomly selected boxes of this type. Suppose you wish to find the probability that X is equal to 8.

(i) Does the random variable X have a binomial or a Poisson distribution? How can you tell? (ii) If X has a binomial distribution, would it be reasonable to use the Poisson approximation? If not, why not?

Expert Solution

orchestra answered 2 years ago

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