| (3 intermediate revisions by 2 users not shown) | |||
| Line 5: | Line 5: | ||
<center> | <center> | ||
<font size= 4> | <font size= 4> | ||
| − | Practice Problems | + | [https://www.projectrhea.org/learning/practice.php Practice Problems] on Probability |
</font size> | </font size> | ||
| Line 44: | Line 44: | ||
---- | ---- | ||
==Practice Problems written by students== | ==Practice Problems written by students== | ||
| − | + | *On conditional probability and/or independence | |
| − | + | **[[EC1-Boldt]] | |
| + | **[[ECE_302-Extra_Credit-_Zimmerman]] | ||
| + | **[[Tetris_Independence_-_ECE302]] | ||
| + | **[[ECE302_First_Bonus_point_opportunity_yanwen_jin]] | ||
| + | **[[ECE302_EC1_Woo]] | ||
| + | **[[BonusProblem_Zhenming_Zhang]] | ||
| + | **[[ECE_302_EC_Desai]] | ||
| + | **[[ECE302_BonusProblem_Ruofei_Chen]] | ||
| + | **[[ECE302_Problem_Zihui_Liu]] | ||
| + | **[[Green26_ece302_ec1| Pixels (alec green)]] | ||
| + | *On expectation and/or variance of a discrete random variable | ||
| + | **[[ThirdBonusDude91|Dude91's Question]] | ||
| + | **[[ECE302_EC2_Woo]] | ||
---- | ---- | ||
==Quizzes== | ==Quizzes== | ||
| Line 56: | Line 68: | ||
*[[quiz7_expectation_continuousRV_ECE302_S13_Boutin|Quiz 7 Expectation of continuous random variable]] | *[[quiz7_expectation_continuousRV_ECE302_S13_Boutin|Quiz 7 Expectation of continuous random variable]] | ||
*[[quiz8_Poisson_process_ECE302_S13_Boutin|Quiz 8 Poisson Process]] | *[[quiz8_Poisson_process_ECE302_S13_Boutin|Quiz 8 Poisson Process]] | ||
| + | ---- | ||
==Other practice Problems== | ==Other practice Problems== | ||
*[[Mysteries_of_probability_MA375S12Walther|Various problems, with a short tutorial]] | *[[Mysteries_of_probability_MA375S12Walther|Various problems, with a short tutorial]] | ||
| Line 97: | Line 110: | ||
* [[homework10_ECE302Fall2008sanghavi|Various problems from Homework 10, Prof. Sanghavi]] | * [[homework10_ECE302Fall2008sanghavi|Various problems from Homework 10, Prof. Sanghavi]] | ||
---- | ---- | ||
| − | + | [[ECE302|Back to ECE302: "Probabilistic Methods in ECE"]] | |
| − | + | ||
Latest revision as of 17:17, 23 February 2015
Practice Problems on Probability
(ECE302)
Contents
- Definition of a set
- Set operations
- Conditional Probability
- Discrete Random Variables
- Continuous random variables
- Normalizing the probability mass function of a Gaussian random variable
- Obtaining the joint pdf from the marginal pdfs of two independent variables
- Compute a probability
- Find the CDF
- Compute the mean
- Compute the zero-th order moment of a Gaussian
- Compute the first order moment of a Gaussian
- Compute the second order moment of a Gaussian
- Comparing probabilities for different Gaussians
- Compute the probability that a meeting will occur
- Find the conditional probability density function
- Find the conditional probability density function (again)
- Find the conditional probability density function (conditioned on an event this time)
- Determine if X and Y independent from their joint density
- Recover the pmf corresponding to this characteristic function
- Obtain the characteristic function of an exponential random variable
- pdf of Y=aX+b
- Various Questions about a 2D Gaussian
- Random Processes
Practice Problems written by students
- On conditional probability and/or independence
- On expectation and/or variance of a discrete random variable
Quizzes
- Quiz 1 on the definition of a set
- Quiz 2 on proving De Morgan's law
- Quiz 3 set theoretic probability
- Quiz 4 Expectation of discrete random variable
- Quiz 5 cdf of Normal random variable (part1)
- Quiz 6 cdf of Normal random variable (part2)
- Quiz 7 Expectation of continuous random variable
- Quiz 8 Poisson Process
Other practice Problems
- Various problems, with a short tutorial
- Distinguished versus undistinguished counting problems
- Summary of discrete probability, with some solved problems at the end
- Counting Subsets Practice Problems
- Counting Subsets Tutorial Example Problems
- Hillary and Barack, Lec. 3 on 8/29
- Disease testing, Lec. 3 on 8/29
- Switches, Lec. 5 on 9/8
- Car keys redistributed, Lec 10 on 9/19
- Coupon collection, Lec. 11 on 9/22
- Memoryless property of exponential, Lec 13 on 10/1
- When to arrive at the train station?_ECE302Fall2008sanghavi
- Finding area of a shape by random samples, Lec 14 on 10/3
- Conditional PDFs - random breaking of a stick, Lec 15 on 10/6_ECE302Fall2008sanghavi
- RV Coin Machine, Lec 17 on 10/10_ECE302Fall2008sanghavi
- PMF of x coordinate when uniformly dist. in a triangle, Lec 15 on 10/6_ECE302Fall2008sanghavi
- Example for continuous Probability Distributions. Vivek_ECE302Fall2008sanghavi
- Example finding covariance of coin flips, Lec 10/15_ECE302Fall2008sanghavi
- Exam Review Example 10/20_ECE302Fall2008sanghavi
- Markov Inequality Example_ECE302Fall2008sanghavi
- ML Estimate for Exponential RV_ECE302Fall2008sanghavi
- ML Estimate for Continuous RV on 10/31_ECE302Fall2008sanghavi
- ML Extimate explanation_ECE302Fall2008sanghavi
- Confidence Interval Bernoulli RV_ECE302Fall2008sanghavi
- Confidence Interval Example 11/07/08_ECE302Fall2008sanghavi
- Confidence Interval Explanation_ECE302Fall2008sanghavi
- MSE Example_ECE302Fall2008sanghavi
- Linear MMSE Estimator Example (12/1)_ECE302Fall2008sanghavi
- Hypothesis testting example 12/8_ECE302Fall2008sanghavi
- More on Hypothesis Testing 12/8_ECE302Fall2008sanghavi
- Various problems from Homework 2, Prof. Sanghavi
- Various problems from Homework 3, Prof. Sanghavi
- Various problems from Homework 4, Prof. Sanghavi
- Various problems from Homework 5, Prof. Sanghavi
- Various problems from Homework 6, Prof. Sanghavi
- Various problems from Homework 7, Prof. Sanghavi
- Various problems from Homework 8, Prof. Sanghavi
- Various problems from Homework 9, Prof. Sanghavi
- Various problems from Homework 10, Prof. Sanghavi
