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Let’s say you are an ornithologist and are sitting on a beach counting seagulls that fly...

  1. Let’s say you are an ornithologist and are sitting on a beach counting seagulls that fly by. They fly by at a rate of 3 per minute. The time passing between seagulls can be represented by an exponential distribution. Write a RStudio code and present a histogram illustrating the situation where you sample with sample size n=5 (you count the time between 5 birds and then get the average). Form 10,000 such samples of 5 birds each.

Show your code and a histogram modeling the situation. What is the average of this distribution? What is its standard deviation?

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