Each front tire on a particular type of vehicle is supposed

Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable

Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable??X for the right tire and Y for the left tire, with joint pdf given below. f(x,y)=

Solution

To find k

As total prob =1

we have integral of f(x,y) dxdy =1

K(11x^2+1/3(21791))dx

= K(11/3)(21791)+21791(11)/3k = 1