. 1. Let X and Y be two jointly continuous random variables with joint pdff(x,y) = {k(x +3y),0≤x≤ 1,0 ≤ y ≤ 1otherwisea. Find the constant k.b. Find the marginal pdf of X.c. Find E(X).d. Find Var(X).e. Find P(1/2 < X < 1,0 < Y < 1/2).

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Answered: 1. Let X and Y be two jointly…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Chapter10: Statistics

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1. Let X and Y be two jointly continuous random variables with joint pdf f(x,y) = {k(x+y), 0≤x≤ 1,0 ≤ y ≤1 otherwise a. Find the constant k. b. Find the marginal pdf of X. c. Find E(X).