62% of VCRs of a Certain Type Are Defective

question 114

Essay

6.2% of VCRs of a certain type are defective. Let the random variable X represent the number of defective VCRs among 200 randomly selected VCRs of this type. Suppose you wish to find the probability that X is equal to 8. Does the random variable X have a binomial or a Poisson distribution? How can you tell? If X has a binomial distribution, would it be reasonable to use the Poisson approximation? If not, why not?

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Definitions:

Specific Action

A particular or defined course of conduct or procedure directed towards achieving a given goal or objective.

Audience Decision

The outcome or action taken by the audience after being exposed to a message or piece of communication.

Persuasive Claim

An assertion made in an attempt to convince or influence others to accept a particular viewpoint or to take a specific action.

Sincere Apology

An expression of regret or remorse that is genuine and heartfelt, acknowledging one's mistakes or failures.