please give a detailed answer.

Q 1. A study by nal year students of RMU reveal that the air quality pollutants at the junction mall include nitrogen oxide {N02} and carbon monoxide {CO}. Let X denote the amount of nitrogen oxides and Y, the amount of carbon monoxide1 in a randomly collected of volume of air sample. Assume that the joint probability density function of X and Y is given by o(s+y}2, 0 (1:: 1,0: y: 1 fix: 1:} = 0, otherwise {a} Determine the value of the constant a. {b} Compute P{0.5 z: X <: y compute the conditional expectation e cowx and comment on independence of random variables x y. points>