The joint density function of X and Y is given by f(z, y) = { if 0 < z < 2, 1 < y < 2 othereise. Ity 0. Calculate P(1 < X < 2|Y = 1.5). %3D
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- The joint density function of X and Y is 2а+2-у 2212-4, 0Given the joint density function r(1+3y 0 < x < 2, 0 < y < 1, f(x, y) = 0. elsewhere, a. find g(x), h(y), f(x|y), and evaluate P( < X < } |Y = }) %3D4. Find the mass of a thin bar having the linear density function p(x)=6+x', defined over the range 0The joint probability density of X and Y is f(x, y). Find the marginal density of X at 0.4. The answer should be given to 2 decimal places. g(0.4) = f(x, y)= { 2(x + y) 0Verify the claim that p (r) = p (x, y) dy, where p(r, y) and p (r) denote %3D the joint density and marginal density, respectively."Medians, etc problem." Suppose X has density x−2 for x ≥ 1. Find the density function for Y = X2.1.) 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)?Please answer i,ii, and show steps if possible. Do not randomly write wrong answers if don't know how to solve.Given f(y) = cy, 0Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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