MATH 314 Quiz 13

Please submit a Jupyter notebook to the following repository by today at 4.00pm with your solution(s) to problem 1. below.

  1. A seismologist has been studying the frequency of small earthquakes in a particular geologically active region. Over the course of several years, she determines that on average, there are 3.5 small earthquakes per day in this region.
    1. What distribution applies to the situation above? Why?
    2. Why doesn't a Binomial distribution fit the situation above?
    3. Simulate 10001000 random variables from the distribution above.
    4. Using only your simulated data, what is the probability that on a given day there are exactly 2 earthquakes?
    5. Using only your simulated data, what is the probability that on a given day there are 3 or more earthquakes?
    6. Estimate the probability that over the course of a week (7 days), there are at most 5 earthquakes.