Question 4: Given the joint density function: 6 — х — у f(x,y) =D. if 0 < x < 2 and 2 < y < 4; 8 otherwise. The marginal distribution h(y) is: if 2< y < 4; a. h(y) = 8. %3D otherwise. 5-y b. h(y) = if 2 < y < 4; 4 otherwise. 5+y с. h(у) %3D if 2 < y < 4; 4 otherwise. if 2< y < 4; d. h(y) = otherwise. 41
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- Example 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.Please help with this question fast.10. Suppose X and Y have a joint density function given by Sca?, for 0< x < y < 1, 10, f(x, y) otherwise. Find c, the marginal density functions, EX, EY, and the conditional expectations E(Y | X = x) and E(X | Y = y).
- Please help me w the problem in the photo.Please just answer part (7-IV). just the last partSuppose the life span of a laboratory animal is defined by a Rayleigh density function with a=0 and b=30 weeks: (x-a)² bu(x-a) Where £x (x)= = b (x-a)e 9 = { 1 u(x) = x>0 x < 0 What is the probability that the animal will live between 10 and 20 weeks? What is the expected lifespan of the animal?
- 1.5 Solve the below problem: Let Y, and Y, have a joint density function given by f(n. Y2) = $3y1 0< y2 < yı <1 lo, elsewhere. The marginal density function for Y, is f(v2) =(1 – y3), 0 < y2 < 1. Find the marginal density function of Y1. (NB: Show all your calculations)1.) Suppose X and Y have joint density function f(x,y)= 8xy/3 on x is greater than or equal to 0 and less than or equal to 1. and y is greater than x and is less than or equal to 2x. a.) Find P( Y< 0.8) b.) Find the marginal density function of X c.) What is E(X)?1) Consider a continuous RV, Y, with a pdf given by f(y)=ce²¹, -∞Let X, Y have the joint pdf for x? + y? 0, y > 0 fx,y O.w. where c is some constant. Question part 4: find fy (y), the marginal distribution of Y. (Answer choices are given in terms of c) O fy (y) = ;(1 – y²) for 023. The joint density function of X and Y is given by C. xy, for x, y > 0, 4.x2 + y? < 1, f(x, y) 0, otherwise. Compute c, the marginal densities, and the conditional expectations E(Y | X = x) and E(X | Y = y). %3D 30 Show that a suitable power of a Weibull-distributed random variableRecommended 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