xample the joint density for the random variabes where X is the unit temperature change and is the proportion of spectrum shift that certain atomic particle produces, is fx₁y (x,y) = laxy² I (0,7) (xX) I (X, ₁) (Y) ind the marginal densities g(x), h(y) and the conditional density f(ylx). Find the probability that the spectrum shipts more that half of the -otal observations, given that the temperature is increased by 0-25 unit.