Assignment Task :

Questions 
1.
Identify three successful and well-used scoring functions in areas of personal interest to you. For each, explain what makes it a good scoring function and how it is used by others. 
2. Suppose we want to train a binary classifier where one class is very rare. Give two examples of such a problem. How should we train this model? What metrics would you consider to measure the performance? 
3. Suppose you are rolling a die with success defined as getting a 4. If you roll the die independently eight times:
4.  What is the probability of observing exactly five successes (five 4s) in total? (calculated by hand) 
  Use R to confirm the result of Pr(X=5) for the die-roll example. 
 Plot the corresponding full probability mass function for X for this die-rolling example.

5. Consider the example of defects on 1-foot-square sheets of metal coming off a production line. Suppose you’re told that the number of defects found, X, is thought to follow a Poisson distribution with λ = 3.22. In other words, you’d expect to see an average of 3.22 defects on your 1-foot sheets. 

  • Use R to find the probability you observe strictly less than three defects. 
  • Use R to find the probability you observe strictly more than five defects. 
  •  Plot the corresponding Poisson probability mass function and cumulative distribution function for λ = 3.22 plotted for the integers 0 ≤ x ≤ 10.

 

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  • Posted on : May 07th, 2019

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