Homework 3

Submit the assignment as one PDF file. Due October 5th, 2025 at 11:59 PM.

Problem 1

Problem from Probability 4 Data Science Chapter 4: Exercises 2

Problem 2

Problem from Probability 4 Data Science Chapter 4: Exercises 3

Problem 3

Problem from Probability 4 Data Science Chapter 4: Exercises 4

Problem 4

Problem from Probability 4 Data Science Chapter 4: Exercises 5

Problem 5

Show that the Expected Value of a \mathrm{Beta}(\alpha, \beta) random variable is \frac{\alpha}{\alpha + \beta}