Random variables X and Y have joint PDF fXY x y x y3 0 les

Random variables X and Y have joint PDF f_XY (x, y) = {x + y/3 0 lessthanorequalto x lessthanorequalto 1, 0 lessthanorequalto y lessthanorequalto 2 0 otherwise Find the marginal PDFs f_x(x) and f_y(y). What are E[X] and Var[X]? What are E[Y] and Var[Y]?

Solution

main.cpp

#include <iostream>
#include <iomanip>
using namespace std;

int main()
{
   double kilograms;
   double pounds;
   cout << \"Please input your weight in Kilograms : \";
   cin >> kilograms;
   cout << endl;
   pounds = 2.20462262184878*kilograms;
   cout << \"Your weight in pounds is exactly : \" << setprecision(4) << fixed << pounds << endl;
   cout << endl;
   return 0;
}

Output :-

 Random variables X and Y have joint PDF f_XY (x, y) = {x + y/3 0 lessthanorequalto x lessthanorequalto 1, 0 lessthanorequalto y lessthanorequalto 2 0 otherwise

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