Probabilistic Systems Analysis and Applied Probability

Lecture 6: Discrete Random Variable Examples; Joint PMFs

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Lecture Topics

Review: PMF, expectation, variance Conditional PMF Geometric PMF Total expectation theorem Joint PMF of two random variables

Lecture Activities

• Watch the Lecture 6: Discrete Random Variable Examples; Joint PMFs Video by Prof. Tsitsiklis (00:50:53)
• Review the Lecture 6: Discrete Random Variable Examples; Joint PMFs Slides (PDF)
• Read Sections 2.4–2.6 in the textbook

Recitation Problems and Recitation Help Videos

Review the recitation problems in the PDF file below and try to solve them on your own. Two of the problems have an accompanying video where a teaching assistant solves the same problem.

• Recitation 6 Problems (PDF)
• Recitation 6 Solutions (PDF)

Recitation Help Videos

PROBLEM #	PROBLEM TITLE	PROBLEM SOLVED BY
1	Flipping a Coin a Random Number of Times	Kuang Xu
2	Joint Probability Mass Function (PMF) Drill 1	Katie Szeto

Tutorial Problems and Tutorial Help Videos

Review the tutorial problems in the PDF file below and try to solve them on your own. One of the problems has an accompanying video where a teaching assistant solves the same problem.

• Tutorial 3 Problems (PDF) Do ONLY problem 2
• Tutorial 3 Solutions (PDF)

Tutorial Help Videos

PROBLEM #	PROBLEM TITLE	PROBLEM SOLVED BY
2	The Coupon Collector Problem	Kuang Xu

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