Each front tire of a vehicle is supposed to be filled to a pressure of 25...

Each front tire of a vehicle is supposed to be filled to a pressure of 25 psi (pounds per square inch). Suppose that X and Y are random variables giving the actual air pressure on the right and left tires, respectively. Suppose the joint pdf is given by f(x,y)=K(x^2+y^2) for x and y between 20 and 30.

Calculate the value K must have for this to be a pdf.
Calculate the probability that both tires are underfilled with air.
Determine the marginal distribution of air pressure in the right tire alone.
Calculate the probability that the left tire's pressure is at least eight more psi than the right tire's pressure.

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orchestra answered 1 year ago

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