(New page: Category:Problem_solving =Practice Problems for Probabilities (e.g., ECE302)= * [[Hillary and Barack_ECE302Fall2008sanghavi|Hillary and Barack, Lec....)
 
 
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[[Category:ECE302]]
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[[Category:probability]]
 
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=[[:Category:Problem_solving|Practice Problems]] for Probabilities (e.g., [[ECE302]])=
 
  
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[https://www.projectrhea.org/learning/practice.php Practice Problems] on Probability
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([[ECE302]])
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==Collectively solved problems related to Probability==
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*Definition of a set
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**[[Practice_Question_definition _set_ECE302S13Boutin|Do these signals form a set?]]
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*Set operations
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**[[Practice_Question_definition_set_union_ECE302S13Boutin|Union of two sets]]
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**[[Practice_Question_definition_set_union_2_ECE302S13Boutin|Union of two sets (again)]]
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*Conditional Probability
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**[[Practice_Question_Monty_Hall_ECE302S13Boutin|Explain the Monty Hall problem using conditional probability]]
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*Discrete Random Variables
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**[[Practice_Question_probability_normalization_ECE302S13Boutin|Normalizing the probability mass function of a discrete random variable]]
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*Continuous random variables
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**[[Practice_Question_gaussian_normalization_ECE302S13Boutin|Normalizing the probability mass function of a Gaussian random variable]]
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**[[Practice_Question_joint_from_marginals_independent_variables_ECE302S13Boutin|Obtaining the joint pdf from the marginal pdfs of two independent variables]]
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**[[Practice_Question_linear_random_variable_probability_ECE302S13Boutin|Compute a probability]]
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**[[Practice_Question_uniform_random_variable_CDF_ECE302S13Boutin|Find the CDF]]
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**[[Practice_Question_uniform_random_variable_mean_ECE302S13Boutin|Compute the mean]]
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**[[Practice_Question_moment_order_zero_Gaussian_ECE302S13Boutin|Compute the zero-th order moment of a Gaussian]]
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**[[Practice_Question_moment_order_one_Gaussian_ECE302S13Boutin|Compute the first order moment of a Gaussian]]
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**[[Practice_Question_moment_order_two_Gaussian_ECE302S13Boutin|Compute the second order moment of a Gaussian]]
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**[[Practice_Question_comparing_probabilities_Gaussians_ECE302S13Boutin|Comparing probabilities for different Gaussians]]
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**[[Practice_Question_probability_meeting_occurs_ECE302S13Boutin|Compute the probability that a meeting will occur]]
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**[[Practice_Question_find_conditional_pdf_ECE302S13Boutin|Find the conditional probability density function]]
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**[[Practice_Question_find_conditional_ellipse_ECE302S13Boutin|Find the conditional probability density function (again)]]
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**[[Practice_Question_find_conditional_event_ECE302S13Boutin|Find the conditional probability density function (conditioned on an event this time)]]
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**[[Practice_Question_independence_ECE302S13Boutin|Determine if X and Y independent from their joint density]]
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**[[Practice_Question_characteristic_function_ECE302S13Boutin|Recover the pmf corresponding to this characteristic function]]
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**[[Practice_Question_characteristic_function_exponential_random_variable_ECE302S13Boutin|Obtain the characteristic function of an exponential random variable]]
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**[[Practice_Question_characteristic_linear_function_random_variable_ECE302S13Boutin|pdf of Y=aX+b ]]
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**[[Practice_Question_2D_Gaussian_ECE302S13Boutin|Various Questions about a 2D Gaussian]]
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*Random Processes
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**[[Practice_Question_what_is_stationary_increment_property_sum_process_ECE302S13|the stationary increment property of a sum process]]
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----
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==Practice Problems written by students==
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*On conditional probability and/or independence
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**[[EC1-Boldt]]
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**[[ECE_302-Extra_Credit-_Zimmerman]]
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**[[Tetris_Independence_-_ECE302]]
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**[[ECE302_First_Bonus_point_opportunity_yanwen_jin]]
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**[[ECE302_EC1_Woo]]
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**[[BonusProblem_Zhenming_Zhang]]
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**[[ECE_302_EC_Desai]]
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**[[ECE302_BonusProblem_Ruofei_Chen]]
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**[[ECE302_Problem_Zihui_Liu]]
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**[[Green26_ece302_ec1| Pixels (alec green)]]
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*On expectation and/or variance of a discrete random variable
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**[[ThirdBonusDude91|Dude91's Question]]
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**[[ECE302_EC2_Woo]]
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----
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==Quizzes==
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*[[quiz1_set_definition_ECE302_S13_Boutin|Quiz 1 on the definition of a set]]
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*[[quiz2_set_operation_prove_De_Morgan_Law_ECE302_S13_Boutin|Quiz 2 on proving De Morgan's law]]
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*[[quiz3_set_theory_probability_S13_Boutin|Quiz 3 set theoretic probability]]
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*[[quiz4_expectation_discrete_RV_ECE302_S13_Boutin|Quiz 4 Expectation of discrete random variable]]
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*[[quiz5_cdf_GaussianRV_ECE302_S13_Boutin|Quiz 5 cdf of Normal random variable (part1)]]
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*[[quiz6_cdf_GaussianRV2_ECE302_S13_Boutin|Quiz 6 cdf of Normal random variable (part2)]]
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*[[quiz7_expectation_continuousRV_ECE302_S13_Boutin|Quiz 7 Expectation of continuous random variable]]
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*[[quiz8_Poisson_process_ECE302_S13_Boutin|Quiz 8 Poisson Process]]
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----
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==Other practice Problems==
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*[[Mysteries_of_probability_MA375S12Walther|Various problems, with a short tutorial]]
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*[[Distinguished/Indistinguished_Problem|Distinguished versus undistinguished counting problems]]
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*[[Mysteries_of_probability_MA375S12Walther|Summary of discrete probability, with some solved problems at the end]]
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* [[Counting_subsets_of_sets_problems|Counting Subsets Practice Problems]]
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* [[Counting_subsets_of_sets_examples|Counting Subsets Tutorial Example Problems]]
 
* [[Hillary and Barack_ECE302Fall2008sanghavi|Hillary and Barack, Lec. 3 on 8/29]]
 
* [[Hillary and Barack_ECE302Fall2008sanghavi|Hillary and Barack, Lec. 3 on 8/29]]
 
* [[Disease_ECE302Fall2008sanghavi|Disease testing, Lec. 3 on 8/29]]
 
* [[Disease_ECE302Fall2008sanghavi|Disease testing, Lec. 3 on 8/29]]
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* [[homework10_ECE302Fall2008sanghavi|Various problems from Homework 10, Prof. Sanghavi]]
 
* [[homework10_ECE302Fall2008sanghavi|Various problems from Homework 10, Prof. Sanghavi]]
 
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[[ECE302|Back to ECE302: "Probabilistic Methods in ECE"]]
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Click [[:Category:Problem_solving|here]] for a comprehensive list of all [[About_Rhea|Rhea]] pages in the "[[:Category:Problem_solving|problem solving]]" category.
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Latest revision as of 17:17, 23 February 2015


Practice Problems on Probability

(ECE302)

Collectively solved problems related to Probability

Practice Problems written by students

Quizzes

Other practice Problems

Back to ECE302: "Probabilistic Methods in ECE"

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Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva