Probability using normal approximation to binomial, Basic Statistics

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Probability using normal approximation to binomial

Probability using Normal approximation to Binomial.

Santa Fe black on white is a style of pottery that occurs in about 61 percent of the pot shards found in the Bandelier National Monument area. At one excavation sit site 8641 pot shards have been found that have not yet been cleaned an identified. What is the likelihood that

(a) Fewer than 5200 are Santa Fe black-on-white?

(b) More than 5400 are Santa Fe black-on-white?

(d) In the solution to this problem, what is n? p? q? Does it appear that both np and nq are larger than 5? Why is this important consideration?

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