The joint density function of Xand Yis given by f(x,y)=2e-xe-2y ;x>0,y>0
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A: From the given information, P(M) = 0.60, P(A) =0.34 and P(M∩A) =0.34.
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- let x and y have joint density function f(x,y) = 2e ^-x-y 0<x<y<∞ are they independent? find the marginal density function,their covariance and correlation coefficientLet X be a continuous random variable with a density function fX (x) = xe ^(−x) for x> 0 Let Y = e ^X and determine the density function fY.Use the transformation technique to find the density function for the random variable Y. The density function should be given as a piecewise function. f(x) = 1/3e^-1/3x x>0 Y=e^x 0 elsewhere
- The joint density function of the randım variables X and Y is f(z, y) = {0, Į 7zy, if 0etermine the marginal density function of X.The density function of X is given by f(x) = a + bæ, 0 < x < 1. (1) If E(X) = }, find a and b. (2) Find V(X)Hi I am having some trouble with this statistics question. Y1 and Y2 denoted the lengths of life, in hundreds of hours, for componentsof types I and II, respectively, in an electronic system. The joint density of Y1 and Y2 isf (y1, y2) =((1/8)*y1*e ^(−(y1 +y2)/2) where y1 > 0, y2 > 0, - and the function is 0 elsewhere The cost C of replacing the two components depends upon their length of life at failure and is given by C = 50 + 2Y1 + 4Y2. Find E(C) and V (C). I undrestand that this is an exponential distribution. Do we use an mgf table to find the alpha and beta or is there a better way to compute the E(C) and V(C).Question 2 Consider the density function given by f(x) = 1, 0Two han dom. variables, X and Y, have a joint probability density function given by DEXZT 2 ण्डपड़ा f(x, y) = elsewhere setermine the value of k that makes valid probability density function. this a Skxy to Determine the joint probability distribu- tion function F(x, y) Find event the joint probability of the xºs ₂2 and y² = /2The radiant energy E of a body is E = kT^, where T is the temperature of the body and k > 0 is a constant. If the temperature of the body is a random variable with density 15x104 » 10 < t< 20, fr(t) = - 0, o.w., find the density function of the radiant energy E.Find the mass "M" and the center of mass "x_bar" of the linear wire covering the given interval and having the density function "8 (x)". 1 < r < 32, 8(x)Let X X,"ExpiB).S(x) = Be "1>0.IM, = Find the pdf of Y = E,X, (a) r(n.ß) (b)r(1,B) (e )r(n, nB) (d) exp(nB) (e) NoneSEE MORE QUESTIONSRecommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,