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need help with these questions please. My code done so far is above. And I have to do these questions: Question 1 Find the best-fit

need help with these questions please.

My code done so far is above. And I have to do these questions:

Question 1

Find the best-fit distribution using Maximum Likelihood Estimation (MLE).

  • Import the data from the file 'SomeNumbers.csv'.
  • Describe the data: state the size and shape of the dataset and the nature of the numbers enclosed.
  • Plot a normalised histogram of the data.
  • These data come from a Negative Binomial distribution. Write a function to compute the log-likelihood. You can let log(0) = 0 if required.
  • The Negative Binomial distribution has two parameters, N and p. Using your code from part 4, compute the values of log-likelihood for values of N in the range [10-60] and p in the range [0-1] (e.g. use 50 values). Plot your results as a two-dimensional plot with the value of log-likelihood as the colour (or equivalently, make a contour or three dimensional plot). Ensure you comment on the results.
  • Compute the maximum of the log-likelihood and find the best-fit values of N and p. Make a plot of the best-fit distribution on top of the histogram from part 3. Comment on your results.

The code I have done so far is below:

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