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In: Statistics and Probability

In a certain population of mussels (mytilus edulis) 80% of the individuals are infected with an...

In a certain population of mussels (mytilus edulis) 80% of the individuals are infected with an intestinal parasite. A marine biologist plans to examine 100 randomly chosen mussels from the population. Let ? represent the number of mussels in this sample with the intestinal parasite.

9) Clearly state the distribution that ? follows, Explain why you picked this distribution? State the distribution we may use to approximate it.

10) Approximate the probability that between 75% and 90% (inclusive) of the mussels in the sample are infected. Note: show your R code for calculating the probability under the normal curve or z-value.

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