1. Exam Info:
75 mins, in-class, closed-notes, closed-book
Please arrive early
5 questions, 35 points total
No programming questions
Calculator not allowed/required
You should know: pdf, cdf of covered distributions
Rules (Bayes, LOE, POE), Inequalities, etc.

2. Please show ALL your work
Exam Info:
Partial marking
Please show ALL your work
Which rule/law do you use to go from one step to another

3. Important topics: Conditioning Total Probability rule for RVs
Law of Total Expectation
Geometric example in class for E[X]

4. Important topics: Conditioning King’s Landing problem in A2
Unif(0, X) in A2

5. Important topics:
Conditioning
Random sum of random variables:

6. Important topics:
Inequalities
Markov’s inequality and its derivation

7. Normal distribution and its properties
Important topics:
Normal distribution and its properties
Transforming any Normal to standard Normal to leverage φ
Area under the curve for Normal CDF

8. Important topics:
Bayes’ Theorem and Total Probability Rule

9. Linearity of Expectation Product of Expectation
Important topics:
Linearity of Expectation
Product of Expectation
E[Binomial(n, p)] viewed as sequence of flips

10. Important topics: RVs and their pmd/pdf
Infinite series for Binomial, Geometric
Integration, integration-by-parts

11. Important topics:
Decision Trees
NBA example in class and in A1