Consider the following joint distribution of X and Y X\Y -4 2 7 Sum 1/4 1/8 1/8 1/8 1/8 1/4 1/2 Sum 3/8 3/8 1/4 1 Find: 1. E(X) 2. E(Y) 3. ÇoylXY) 4. Ox, Oy 5. ρ(Χ, Υ)
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- 5.15 The weekly repair cost, X, for a certain machine has a probability density function given by 6x(1 – x), 05Example 2.4. For a = 0, 2 and y = –-2, –1, let the joint pmf of X and Y be defined by fx,y (x, y) = c(x² – y) 1. Determine c to make the distribution valid. 2. Show the joint pmf of X and Y in tabular form. 3. Show the marginal distributions of X and Y.5.1.9 WP SS vs Determine the value of c such that the function f(x, y) = cxy for 0 1.8, 1#2 in images3. A machine produces spheres with a random radius R which follows a distribution with Scr*, 05.1-37.1 Let X be a random variable with probability Si. 1= 1,2, 3, S(2) =10 elsewhere. Find the probability distribution of the random vari- able Y = 2X 1. 7.8 A dealer's profit, in units of $5000, on a new au- tomobile is given by Y = X², where X variable having the density function sa random S(z) =2(1 - 2), 05.4.6 WP Determine the covariance and correlation for the joint probability density function fry(x, y) = e* over the range 0< x and 0 < y.1. Which of the following is FALSE for a continuous random variable X with pdf y = f(x)? %3D A. P(6 S XS 9) = P(6 < X< 9) B. P(6 s XS 9) = f(6)+f(7)+f(8)+f(9) %3D C. P(6 < XS9) = area under the curve y=f(x) between 6 and 9 D. P(X = 9) = 0sub questions 1,2 and 3 please6.106 If Y is a continuous random variable with distribution function F(y), find the probability density function of U = F(Y).SEE 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