ISE 323 • Operations Research II • Midterm

Exponential Distribution

Example 1

Example 2

Memoryless Property

Example 3

Exam Like Question 1

Exam Like Question 2

Discrete Random Variable 1

Discrete Random Variable 2

Discrete Random Variable 3

Discrete Random Variable 4

Discrete Random Variable 5 - Expected Value

Discrete Random Variable 6 - Expected Value

Continuous Random Variable 1

Continuous Random Variable 2

Continuous Random Variable 3

Continuous Random Variable 4 - Expected Value

Continuous Random Variable 5 - Variance

Discrete Joint Probability 1

Discrete Joint Probability 2

Discrete Joint Probability 3 - Expected Value

Continuous Joint Probability 1

Continuous Joint Probability 2

Continuous Joint Probability 3 - Expected Value

Exponential Distribution 1

Exponential Distribution 2

Markov Property & One Step Transition Matrix

N-Step Transition Matrix

Unconditional Probabilities

Exam-like Question 1

Classification of States

Steady State Probabilities 1

Steady State Probabilities 2

Expected Recurrence Time

Exam-like Question 3

First Passage Time

Expected First Passage Time

Absorbing State

Best Exam-like Question

Creating a Transition Matrix (Important)

Exam-like Question 5

Exponential Distribution 1

Poisson distribution 1

Exponential Distribution 2

Poisson Distribution 2

Exam Like Question 1

Exam Like Question 2

Discrete Time Markov Chains 1

Discrete Time Markov Chains 2

Discrete Time Markov Chains 3

Discrete Time Markov Chains 4

Discrete Time Markov Chains 5

Discrete Time Markov Chains 6

Discrete Time Markov Chains 7

Discrete Time Markov Chains 8

Discrete Time Markov Chains 9

Discrete Time Markov Chains 10

Poisson Processes 1

Poisson Processes 2

Poisson Processes 3