Example. the joint density For the random variables ( X17 ), where X is the unit temperature change and 4 is the proportion OF spectrum shift that a certain atomic particle produces is fx,y ( X+7 ) = 10 xy " I co,) (x ) I ( x, D) ( 7 ) A. Find the marginal densities g(x), h(y) and the conditional density f ( 41x). B. Find the probability that the spectrum shifts more that half of the total observations, given that the temperature is increased by 0- 25 unit