customer satisfaction survey has been recently conducted by Company A. Most customers were satisfied with their services, with only 5% of them citing some form of dissatisfaction. Suppose a random sample of

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A customer satisfaction survey has been recently conducted by Company A. Most customers were satisfied with their services, with only 5% of them citing some form of dissatisfaction.
Suppose a random sample of 200 customers were selected and assuming that normal approximation to the binomial distribution is considered in this case.
Let X = “the number of dissatisfied customers”.

(i) What are the assumptions needed and special adjustment for the normal approximation to the binomial distribution? Is the approximation valid for this case? Explain.

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