The joint distribution of X and Y is given by: f(x,y) = {k* S kx³y - 2
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- Prove the following7. Find the average value of the function f(x) = x- 2|| on the interval [1, 4].Let f(x,0) = ex-1 0If the prob density of a rv is given by f(x)=kx² 0Let X have pdf = { (a) Determine the distribution function Fx (x), by firstly finding k. fx kr(1-x), 0≤x≤ 1; otherwise.Iwont help11 Assume the GPAS of high school students, X, follows a continuous uniform on the domain 1Let Y1, Y2,., Ya be a collection of independent random variables with distribution function y 8 Show that Y converges in probability to a constant, and provide that constant. 1Suppose two continuous random variables have joint pdf: for . Find the value of f(x, y) ∞ e¯ 0 ≤ y ≤ x <∞ fy|x=4(y | x = 4)Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON