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A certain type of lobster is exceedingly​ rare; roughly 1 in every 45 million lobsters hatched is this type of lobster. apply the poisson approximation to the binomial distribution to answer the following questions.

a. of 100 million lobsters​ hatched, what is the probability that between 3 and 5​, ​inclusive, are this type of​ lobster?
b. roughly how many lobsters must be hatched in order to be at least 80​% sure that at least one is this type of​ lobster?

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