Example: the joint density for the random variables (X,Y), where X is the unit temperature change and is the proportion of spectrum shift that a certain atomic particle produces, is fx,₁y (x₁y) = 10 xy² I (0,1) (X) I (X, ₁) (1) A. Find the marginal densities g(x), h(y) and the conditional density f(y1x). B. Find the probability that the spectrum shipts more that half of the total observations, given that the temperature, is increased by 0.25 wit

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