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- Urgent solution requiredWhat is the distribution of X + Y when X and Y are independent random variables with uniform distribution in (0, 1)?X denotes a binomial random variable with parameters n and p, Indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability. P(X< 7)
- Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)Q3/A/ Let X be a r.v with p.d.f f(x) = e-lkl - omoment generating function (mgf) between X and Y, explain how conclude that X and y'are independent. 6. Using two random variables. one canX is a normally normally distributed variable with mean u =10 and standard deviation a =4. Find A) P(x 1) C) P(10Ch: Estimating Random Variables Q: The beta distribution plays an important role in Bayesian statistics. It has two parameters, called shape parameters. Let X and Y be independent uniform random variables on the interval [0,1]. Estimate via simulation the pdf of the maximum of X and Y and compare it to the pdf of a beta distribution with parameters shape1=2 and shape2=1. Use 'dbeta()'. (use R-code)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