Suppose that X and Y have a joint probability density function given by fxx(1, y) = if 1, y 2 0 otherwise (a) Determine the value of the normalization constant c. (b) Find the marginal probability density function fx and state the name of the distribution of X. (c) Find the conditional probability density function fyjx=z-

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Suppose that X and Y have a joint probability density
function given by
Sce-32-5y
if r, y 2 0
fx.x(r, y) =
otherwise
(a) Determine the value of the normalization constant c.
(b) Find the marginal probability density function fx and state the name of the
distribution of X.
(c) Find the conditional probability density function fy|x=z•
Transcribed Image Text:Suppose that X and Y have a joint probability density function given by Sce-32-5y if r, y 2 0 fx.x(r, y) = otherwise (a) Determine the value of the normalization constant c. (b) Find the marginal probability density function fx and state the name of the distribution of X. (c) Find the conditional probability density function fy|x=z•
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