Create the page "Random process" on this wiki! See also the search results found.
- ...<math class="inline">q=1-p</math> . Given that a set of twins selected at random are of the same sex, what is the probability they are fraternal? ...ts <math class="inline">\mathbf{X}</math> in a baseball game is a Poisson random variable. If the probability of a no-hit game is 1/3 , what is the probabil12 KB (2,205 words) - 07:20, 1 December 2010
- ...th> be a sequence of random variables that converge in mean square to the random variable <math class="inline">\mathbf{X}</math> . Does the sequence also co ...> A sequence of random variable that converge in mean square sense to the random variable <math class="inline">\mathbf{X}</math> , also converges in probabi6 KB (1,093 words) - 08:23, 27 June 2012
- Consider the following random experiment: A fair coin is repeatedly tossed until the same outcome (H or T ...math> , respectively. Let <math class="inline">\mathbf{Z}</math> be a new random variable defined as <math class="inline">\mathbf{Z}=\mathbf{X}+\mathbf{Y}.<10 KB (1,827 words) - 08:33, 27 June 2012
- ...irst coin is fair and the second coin has two heads. One coin is picked at random and tossed two times. It shows heads both times. What is the probability th ...mathbf{Y}_{t}</math> by jointly wide sense stationary continous parameter random processes with <math class="inline">E\left[\left|\mathbf{X}\left(0\right)-\9 KB (1,534 words) - 08:33, 27 June 2012
- ...ft(x\right)=P\left(\left\{ \mathbf{X}\leq x\right\} \right)</math> of the random variable <math class="inline">\mathbf{X}</math> . Make sure and specify you ...inline">\mathbf{Y}</math> is <math class="inline">r</math> . Define a new random variable <math class="inline">\mathbf{Z}</math> by <math class="inline">\m10 KB (1,652 words) - 08:32, 27 June 2012
- ...class="inline">\mathbf{Y}</math> be jointly Gaussian (normal) distributed random variables with mean <math class="inline">0</math> , <math class="inline">E\ ...}</math> . Note: <math class="inline">\mathbf{V}</math> is not a Gaussian random variable.6 KB (916 words) - 08:26, 27 June 2012
- State the definition of a random variable; use notation from your answer in part (a). A random variable <math class="inline">\mathbf{X}</math> is a process of assigning a number <math class="inline">\mathbf{X}\left(\xi\right)</math10 KB (1,608 words) - 08:31, 27 June 2012
- Assume that <math class="inline">\mathcal{S}</math> is the sample space of a random experiment and that <math class="inline">\mathcal{F}_{1}</math> and <math ...<math class="inline">q=1-p</math> . Given that a set of twins selected at random are of the same sex, what is the probability they are fraternal? (Simplify7 KB (1,210 words) - 08:31, 27 June 2012
- ...>\mathbf{Y}</math> be two independent identically distributed exponential random variables having mean <math class="inline">\mu</math> . Let <math class="in ...that it deals with the exponential random variable rather than the Poisson random variable.14 KB (2,358 words) - 08:31, 27 June 2012
- Assume that <math class="inline">\mathbf{X}</math> is a binomial distributed random variable with probability mass function (pmf) given by <math class="inline" ...dots,\mathbf{X}_{n},\cdots</math> be a sequence of binomially distributed random variables, with <math class="inline">\mathbf{X}_{n}</math> having probabil10 KB (1,754 words) - 08:30, 27 June 2012
- ...th> and <math class="inline">\mathbf{Y}</math> be two joinly distributed random variables having joint pdf Let <math class="inline">\mathbf{Z}</math> be a new random variable defined as <math class="inline">\mathbf{Z}=\mathbf{X}+\mathbf{Y}</9 KB (1,560 words) - 08:30, 27 June 2012
- ...of independent, identically distributed zero-mean, unit-variance Gaussian random variables. The sequence <math class="inline">\mathbf{X}_{n}</math> , <math ...les, <math class="inline">\mathbf{X}_{n}</math> is a sequence of Gaussian random variables with zero mean and variance <math class="inline">\sigma_{\mathbf{14 KB (2,439 words) - 08:29, 27 June 2012
- ...ass="inline">\mathbf{Y}</math> be two independent identically distributed random variables taking on values in <math class="inline">\mathbf{N}</math> (the ...y distributed random variables, with the <math class="inline">n</math> -th random variable <math class="inline">\mathbf{X}_{n}</math> having pmf <math class10 KB (1,636 words) - 08:29, 27 June 2012
- ..._{1},\mathbf{X}_{2},\mathbf{X}_{3},\cdots</math> is a sequence of i.i.d. random variables with finite mean <math class="inline">E\left[\mathbf{X}_{i}\right ...hbf{X}_{2},\mathbf{X}_{3},\cdots</math> be a sequence of i.i.d Bernoulli random variables with <math class="inline">p=1/2</math> , and let <math class="inl12 KB (1,920 words) - 08:28, 27 June 2012
- Note that the playing process have two key elements, the rhythm and the melody. One should regard the message has no meaning. It's just a random combination of syllables. People make guesses, and when the first impressio2 KB (347 words) - 05:37, 15 January 2011
- ...ulse response and infinite impulse response digital filters; processing of random signals. Speech processing; vocal tract models and characteristics of the s ...icro-integrated systems; properties of materials for MEMS; microelectronic process modules for design and fabrication. Students will prepare a project report17 KB (2,368 words) - 10:53, 6 May 2012
- *Discrete Random Variables ...on_ECE302S13Boutin|Normalizing the probability mass function of a discrete random variable]]7 KB (960 words) - 18:17, 23 February 2015
- ...ne to errors, I hope the lack of sophistication in my language will render process of PCA understandable(without being entirely inaccurate). Principal Component Analysis is a process of extracting useful information from a noisy data set. Complex data sets m6 KB (1,043 words) - 12:45, 3 March 2015
- ...erent but the general theme is there) and how industry handles the project process (similar to class projects just on a much larger scale). I would say the t ...f our career. They really want to see what else you know- can you talk to random people, are you a team player, can you think on your feet, can you be socia20 KB (3,616 words) - 06:10, 2 September 2013
- ...sphere, which is just the basketball that everyone is familiar with. This process of shrinking a loop is illustrated in the picture below. The Poincaré con ...according to the Poincaré conjecture, what you really have (instead of a random blob of play-doh) is just an out-of-shape ball.9 KB (1,549 words) - 06:55, 21 March 2013
- [[Category:random variables]] Question 1: Probability and Random Processes3 KB (406 words) - 10:19, 13 September 2013
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (763 words) - 10:57, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (780 words) - 01:25, 9 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (766 words) - 00:16, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (729 words) - 00:51, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (735 words) - 01:17, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (609 words) - 01:54, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (726 words) - 10:35, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (632 words) - 11:05, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (643 words) - 11:16, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (616 words) - 10:19, 13 September 2013
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (572 words) - 10:24, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes5 KB (748 words) - 01:01, 10 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (638 words) - 10:34, 13 September 2013
- [[Category:random variables]] Question 1: Probability and Random Processes2 KB (248 words) - 10:34, 13 September 2013
- [[Category:random variables]] Question 1: Probability and Random Processes2 KB (234 words) - 10:37, 13 September 2013
- [[Category:random variables]] Question 1: Probability and Random Processes3 KB (496 words) - 10:37, 13 September 2013
- [[Category:random variables]] Question 1: Probability and Random Processes4 KB (547 words) - 16:40, 30 March 2015
- [[Category:random variables]] Question 1: Probability and Random Processes6 KB (932 words) - 10:30, 13 September 2013
- Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Edition, by Alberto Leon-Garcia, *Discrete Random Variables10 KB (1,422 words) - 20:14, 30 April 2013
- ==Part 2: Discrete Random Variables (To be tested in the second intra-semestrial exam)== *2.2 Functions of a discrete random variable4 KB (498 words) - 10:18, 17 April 2013
- *Problem 2.62 from the textbook: Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Edition, by Alberto Leon-Garcia, ...values that exist in the envelopes? If not, what is wrong with our thought process?3 KB (542 words) - 10:52, 29 January 2013
- ...the putative robot spiraling 'inward' or 'outward'. Normally distributed random variables are used to modify the magnitude (M) of the complex vector and ro The (first-order, stationary, discrete time, continuous state-space) Markov process representing this simple 'walk' is as follows:2 KB (289 words) - 15:14, 1 May 2016
- ...r), we can describe this as a variable ''y'' and we consider ''y'' to be a random variable whose distribution depends on the state of the card and is express ...' is greater than ''P(x<sub>1</sub>|y)'' we choose spades. To justify this process, we can also calculate the probability of error when we make a decision. Wh5 KB (844 words) - 23:32, 28 February 2013
- ...[[Category:probability]] [[Category:problem solving]] [[Category:discrete random variable]] [[Category:expectation]] [[Category:variance]] ...ed without defect is r=.9.<br> a)What is the mean and the variance of the process Bob uses? Solve algebraically first, then solve numerically.<br> b)What ef4 KB (757 words) - 06:59, 22 February 2013
- [[Category:continuous random variable]] ...ctice Problem]]: normalizing the probability mass function of a continuous random variable=2 KB (401 words) - 04:52, 4 March 2013
- ...st of the lecture defining what is a discrete-time/continuous-time random process. Then there was a quiz in which we worked on the following [[Temporary_file2 KB (299 words) - 10:26, 22 March 2013
- .... We also introduced the cross-correlation and the cross-covariance of two Random Processes.2 KB (265 words) - 12:15, 25 March 2013
- ...es. In particular, we obtain a formula for the pdf of a sum of independent random variables (namely, the convolution of their respective pdf's).2 KB (286 words) - 09:11, 29 March 2013
- ...also a quiz where we re-emphasized how easy it is to compute the mean of a random variable with a symmetric pmf/pdf. (The trick is to guess the answer m, and *Read Sections 2.1.1-2.1.6 of Prof. Pollak's notes on random variables [https://engineering.purdue.edu/~ipollak/ee438/FALL04/notes/Secti2 KB (330 words) - 06:16, 9 April 2013
