I have 4 problems that need to be solved

Important note please don’t use AI, work based on the instructions only don’t do things that arent mentioned, I will provide the questions in the PDF this is a Prob Stats & Randomness course

Assignment – 1 (ICS-214)

This short problem set is mostly about combinatorics and data generation processes that lead to the verification of simulated probabilities. This problem set is intended to be done fully solo – that is, without consulting classmates. This is because we want to develop our individual capacities for grappling with hard problems to bring more to the table when we collaborate with our peers later. This will also allow instructors to give more personalized feedback on your solutions.

As you work the problems and write up your solutions, try to use the correct vocabulary and notation for your ideas.

If you prefer to submit a PDF, make sure it’s readable and properly formatted.

Assignment Information

Weight:

10%

Learning Outcomes Added

  • : Apply and interpret fundamental concepts of probability, including conditional and bayesian probabilities.
  • : Use appropriate computational tools to solve problems in Probability and Statistics.
  • : Use appropriate mathematical notation (including DAGs) and tools to solve problems in Probability and Statistics.