X.... Xn random sample w/ size n from paf: f(x) = 0x -(0+1) for X >I where 0>0 1) If Y = log(x), How do I show that Eln' ? Y; )=% and does the varianc ( 1=1 of nε vi reach the CRIB? 2) How do you find the limiting distribution of √n (log ô - logo) if ô is the MLE of O n
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- (13) Let X b(6,-) find E(5+6x) and distribution function. 3Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.Let X1, . . . , Xn be iid from Exp(β). Find the distribution of the sample maximum Y = X(n). Is this an exponential distribution? (This question was rejected this morning. I did double check and there is no missing info with this question.)
- Calculate the mean and variance when the probability variable X's moment-generating function is as follows f(x)= 2x-1/16 , x=1,2,3,4 my answer is mean = 25/8, var = 170/16 - (50/16)^2 but solution is mean = 2, var = 4/5 How do we solve the problem? Help meRandom Variable X has PMF given by the following. What is the PMF of Y = X^2 + 1. x -1 1 2 P(X=x) 0.4 0.1 0.536. QUESTION: Let X have the density f(x) = 2x if 0 < r <1 and f(x) = 0 otherwise. Show that X has the mean 2/3 and the variance 1/18. Find the mean and the variance of the random variable Y = -2X + 3.
- 3(6x - x) Determine the mean and variance of the random variable for f(x) = 0Suppose that f(x) = 0.125x for 0 < x < 4 Determine the mean and the variance of X.The pdf of random variable X is given as ƒx(x) = Find the i) Mean ii) Mean of the square [0.3507√x 0SEE MORE QUESTIONSRecommended textbooks for youLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning