The joint density for the random variables (X, Y), where X is the unit temperature change...

 

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The joint density for the random variables (X, Y), where X is the unit temperature change and Y is the proportion of spectrum shift that a certain atomic particle produces, is cry, 0<r<y < 1 f(r. y) = { 0, otherwise a) Find c. b) Find the marginal densities g(r), h(y), and the conditional density f(ry). c) Find the probability that the temperature is greater than 0.5. given that the the spectrum shifts is increased by 0.1. The joint density for the random variables (X, Y), where X is the unit temperature change and Y is the proportion of spectrum shift that a certain atomic particle produces, is cry, 0<r<y < 1 f(r. y) = { 0, otherwise a) Find c. b) Find the marginal densities g(r), h(y), and the conditional density f(ry). c) Find the probability that the temperature is greater than 0.5. given that the the spectrum shifts is increased by 0.1.

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