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- stochastic Proces /Let X be the foisson fracess with A-to CatculateThe random variable X has the geometric distribution with probability mass function (pmf) Py(x) = q*p. x = 0,1, 2, ... 0 x). |A7 The random variable X has the binomial distribution with probability mass function () p*(1 - p)²-*, x = 0, 1,2; 0How to find MME using the Pdf give above?Could you solve the first 3 questions? for 1st part please draw the graph (I want to see how to do it ) Thank youI need the answer quicklythe proportion of spectrum shift that a certain atomic particle produces is The joint density for the random variable (X,Y), where X is the unit temperature change and Y is f(x) = 2 100 xy² 0Entropy 'a posteriori' of the channel is defined as the entropy of the input side without observing the output side? Select one: True O FalseASAP-) Suppose X and Y are continuous random variables. The range of X is [1,3], the range of Y is [0, 1]. The joint pdf of X and Y be given by f(x, y) = 2xy³ - 2y³. Verify if X and Y independent random variables.I need the answer quickly pleaseIf X|0 ~ Bin(n, 8) and 0 - Beta(a, B), show that the posterior distribution of 0 given X is a beta distribution with parameters x + a and n-x +B. Note: f(x\0) = () 0*(1– 0)"-* Г(а + В) h(0) Г(а)Г() ea-1(1 – 0)B-1 andn/forms/d/e/1FA WOKWy-OFrmBkWSLSfuM-c8JCYaEdyj84150 Psuod: The joint probability distribution function of a discrete random variable is f(xy) = cx'/y for x-1, 2, 3 and y-1, 4, 16. c + o Then P(2SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman