Consider the following joint density function: f(x,y) = ÷(x + 3y²), 0 < x < 1,0 < y < 2. CalculateE(Y). 2.7778 1.3333 O 0.5185 O 1,4444 O None of the options
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- Let f (x) = Ke¯a (1 – e a"), x > 0. a. Find K such that f is a density. b. Find the corresponding distribution function. c. Find P (X > 1).3.21. Write an expression for the autocorrelation function R,(t), where 5 y(t) = EY„Rect( ) and { Y,} = {0.8, 1, 1, 1, 0.8}. n = 1 Give an expression for the density function S,(@).1. Consider the following continuous Joint PDF. x f(x, y) = K.+2 y2 In ½-½The current I and the resistance R in a circuit are independent continuous RVs with the following density functions. f;(i) = 2i, 0sis1 elsewhere %3D f,(r) = r²19 OGiven the joint density function r(1+3y 0 < x < 2, 0 < y < 1, f(x, y) = 0. elsewhere, a. find g(x), h(y), f(x|y), and evaluate P( < X < } |Y = }) %3DThe joint density function for x, y is given by S kxy for 0Given f(y) = 4Q6)Find uy of the following joint density function f(x,y) 0.1 0.05 0.02 0.1 0.35 0.05 3 0.03 0.14 0.16 2 O 1.95 O 1.89 O 2.89 O 2.03 O 1. 2.Probability. Only question bi.Recommended 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