Here are the homework assignments from two different years. I think I was most happy with Spring 2015. Notice there were less HW in 2013 as I fell behind in making assignments at some point that year.
- HW1
- HW2
- F13, S15., F22 : [Finding a good phone] [Balls in a Box: Counting [Polya’s urn] [Conditional risk] [The chance of being English] [Chance of an Accident] [Cards: Independence]
- HW3
- S15, F22: [Independence of two hearts ?] [Picking a box then a ball] [Human error is the most common kind] [Airline Overbooking] [Drawing tickets] [Coin Flips: typical behavior] [Leukemia Test] [School admissions]
- F13: [Defective Machines] [Approximation: Rare vs Typical] [Airline Overbooking] [Coin Flips: typical behavior] [Leukemia Test] [School admissions]
- HW4
- S15: [Defective Machines] [Cards again] [Approximation: Rare vs Typical] [Poker Hands: counting] [The matching problem] [Leukemia Test]
- F13: [Ordered Random Variables] [Coin tosses: independence and sums] [Poker Hands: counting] [Dice rolls: Explicit calculation of max/min] [Blocks of Bernoulli Trials] [The matching problem]
- F22: [Which deck is rigged ?] [Defective Machines] [Cards again] [Approximation: Rare vs Typical] [Poker Hands: counting] [The matching problem]
- HW5
- S15: [Indicator Functions and Expectations – II] [Coin tosses: independence and sums] [Expected Value and Mean Error] [Putting expectations together] [Expection and dice rolls] [Dice rolls: Explicit calculation of max/min] [Blocks of Bernoulli Trials]
- F13: [Overloading an Elevator] [Indicator Functions and Expectations – II] [Random Digit] [A simple mean calculation] [Expected Value and Mean Error] [Stuffing Envelopes] [Putting expectations together] [Expection and dice rolls]
- HW5/6
- HW6
- S15: [Overloading an Elevator] [Random Digit] [Games with Black and White Balls] [Expectation of geometric distribution] [Basic Random Walk] [Stuffing Envelopes]
- F13: [Approximating sums of uniform random variables [geometric probability: marginal densities] [probability density example] [Raindrops are falling] [Mixing Poisson Random Variables 1] [Random Errors in a Book] [Games with Black and White Balls] [Expectation of geometric distribution]
- HW7
- S15: [Handing back tests] [Up by two] [Population] [Raindrops are falling] [Mixing Poisson Random Variables 1] [Random Errors in a Book]
- F13: [Calls arriving] [Tail-sum formula for continuous random variable] [ Min, Max, and Exponential] [Change of Variable: Gaussian] [Change of variable: Weibull distribution] [Change of Variable: Uniform]
- HW8
- S15: [Benford’s Law] [Conditioning a Poisson Arrival Process] [Calls arriving] [Approximating sums of uniform random variables] [geometric probability: marginal densities] [probability density example]
- F13: [Difference between max and min] [A Joint density example II] [Closest Point ][A joint density example I][Point of increase][An example of min and change of variable] [Box-Muller I]
- HW9
- S15: [Closest Point ] [An example of min and change of variable] [ Min, Max, and Exponential] [Order statistics I] [Change of Variable: Gaussian] [Change of variable: Weibull distribution] [Change of Variable: Uniform]
- F13: [conditional densities] [Expected max/min given min/max] [Beta-binomial] [Conditioning and Polya’s urn] [Expectation of hierachical model] [Expectation of mixture distribution]
- HW10
- HW11
