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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17-06-2024
Mathematics

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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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