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A certain type of lobster Is exceedingly Rare, Roughly 1 In every 45 Million lobsters hatched...

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.

Roughly how Many lobsters Must be hatched In order To be Atleast 80% sure That At least one Is This Type of lobster?

Math   Statistics-And-Probability   
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Answer #1

Answer:

Given that,

A certain type of lobster is exceedingly​ rare; roughly 1 in every 45 million lobsters hatched is this type of lobster.

a) Roughly how many lobsters must be hatched in order to be at least 80​% sure that at least one is this type of​lobster?

Let expected of this kind of lobseter = a

Therefore P(At least one of this kind) =

Total number of lobster required =45*1.609= 73  million

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